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videomuzda sizlere basit eşitsizlik TYT matematik , DGS matematik , KPSS matematik , ALES matematik ve MSÜ matematik sorularında kullanabileceğiniz sınav taktikleri veriyoruz. Her videoda...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4034273/d9c18f6957f9075d063884ca397745c1/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/-swaOwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=videoid:11012624022470737430","teaser":[{"list":{"type":"unordered","items":["Bu video, Can Hoca tarafından Tasarı Akademi TV'de sunulan bir matematik eğitim içeriğidir. Öğretmen, ÖSYM sınavlarında sıkça çıkan basit eşitsizlikler ve kümeler konusunu anlatmaktadır.","Video, basit eşitsizliklerin tanımı ve özellikleriyle başlayıp, eşitsizliklerde işlem yapma kurallarını örneklerle açıklamaktadır. Ardından aralık kavramı detaylı olarak ele alınmakta, açık, yarı açık ve kapalı aralık türleri sayı doğrusu üzerinde gösterilmektedir. Daha sonra kümelerin birleşimi ve kesişimi, köklü eşitsizlikler ve özel tanımlarla ilgili soru tipleri çözülmektedir.","Video, ÖSYM sınavlarında çıkabilecek soru tiplerini içermekte ve konuyu kapsamlı bir şekilde ele almaktadır. Özellikle yıldız işaretiyle vurguladığı iki soru üzerinde durulmakta ve öğrencilerin bu soruları ayrıntılı incelemelerini istenmektedir. Video sonunda PDF ve açıklamalar eklendiği belirtilmektedir."]},"endTime":1156,"title":"Matematik Dersi: Basit Eşitsizlikler ve Kümeler","beginTime":0}],"fullResult":[{"index":0,"title":"Basit Eşitsizlik Tanımı","list":{"type":"unordered","items":["Basit eşitsizlik, iki reel sayının birbirleriyle karşılaştırılmasıdır.","a ≥ b veya a > b ifadeleri basit eşitsizlik olarak adlandırılır.","a ≥ b ifadesi, a'nın b'ye eşit olabileceği anlamına gelir."]},"beginTime":6,"endTime":83,"href":"/video/preview/11012624022470737430?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=6&ask_summarization=1"},{"index":1,"title":"Basit Eşitsizlik Örnekleri","list":{"type":"unordered","items":["Eşitsizliklerde denklem çözme disiplini benzer şekilde uygulanır, ancak sonuç farklı bir yorum gerektirir.","Eşitsizliklerde işlem yaparken, bölme işlemi yaparken bölen sayının pozitif veya negatif olmasına dikkat edilmelidir.","Eşitsizliklerde en küçük veya en büyük değer sorulduğunda, aralıkta bulunan tam sayılar incelenir."]},"beginTime":83,"endTime":292,"href":"/video/preview/11012624022470737430?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=83&ask_summarization=1"},{"index":2,"title":"Aralık Kavramı","list":{"type":"unordered","items":["Açık aralık, her iki uçtan da açık olan aralıktır ve sayı doğrusunda içi boş daire ile gösterilir.","Yarı açık aralık, bir ucu kapalı diğer ucu açık olan aralıktır ve sayı doğrusunda bir ucu dolu diğer ucu boş daire ile gösterilir.","Kapalı aralık, her iki ucu da kapalı olan aralıktır ve sayı doğrusunda her iki ucu da dolu daire ile gösterilir."]},"beginTime":292,"endTime":430,"href":"/video/preview/11012624022470737430?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=292&ask_summarization=1"},{"index":3,"title":"Sonsuz Aralıklar ve Tam Sayı 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İlk olarak beat bulma yöntemleri ve Virtual DJ, ASIO4ALL gibi programların kurulumu gösterilmekte, ardından Adobe Edition programında multitrack oluşturma ve söz yazma teknikleri anlatılmaktadır. Daha sonra Nektar 3 plug-in'i kullanarak autotune yapma, vokal kaydı alma ve mix etme aşamaları detaylı olarak açıklanmaktadır.","Videoda ayrıca sanal ses kartı kullanımı, USB mikrofonlarla kayıt alma teknikleri ve ses gecikmesi sorunlarını çözmek için öneriler sunulmaktadır. Konuşmacı, trap şarkılarında ritmin önemi, söz yazma stratejileri ve autotune kullanımı hakkında pratik bilgiler vererek, izleyicilerin kendi trap şarkılarını yapabilmelerini sağlamayı amaçlamaktadır."]},"endTime":1254,"title":"Sıfırdan Trap Şarkısı Yapma Eğitimi","beginTime":0}],"fullResult":[{"index":0,"title":"Şarkı Yapımı Hakkında Giriş","list":{"type":"unordered","items":["Ropalar, bugün trap tarzında bir şarkı yapacak ve bu şarkının nasıl yapıldığını gösteren bir video çekecek.","Ayrıca ortaya çıkan şarkının lirik video nasıl yapılır videosunu da çekecek.","Daha önce Adobe Edition programını, otomatik mix mastering yapma yöntemini ve trap tarzında şarkı yapımında kullanılan teknikleri öğretilmiştir."]},"beginTime":14,"endTime":92,"href":"/video/preview/10556606998211266842?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=14&ask_summarization=1"},{"index":1,"title":"Beat Bulma ve 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güzel bir içerik sunulacaktır.","Forumda on bin üyeyi geçtikleri belirtilmiştir."]},"beginTime":1215,"endTime":1248,"href":"/video/preview/10556606998211266842?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=1215&ask_summarization=1"}],"linkTemplate":"/video/preview/10556606998211266842?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"BE Famous! 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vurguluyor."]},"beginTime":205,"endTime":243,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=205&ask_summarization=1"},{"index":3,"title":"Basitsizlikler Konusuna Giriş","list":{"type":"unordered","items":["Basitsizlikler TYT ve AYT'de yeni nesil sorular veya standart sorular olarak gelebilir.","Bu konuda bazı özellikleri not alarak öğrenmek önemlidir.","Konuya başlamadan önce aralık kavramı, küçük kavramı ve büyük kavramı hatırlatılıyor."]},"beginTime":243,"endTime":279,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=243&ask_summarization=1"},{"index":4,"title":"Aralık Kavramları","list":{"type":"unordered","items":["Küçük işareti, büyük işareti, küçük eşit işareti ve büyük eşit işareti kullanılarak ifadeler oluşturulabilir.","Aralık kavramları kapalı aralık, açık aralık ve yarı açık aralık olmak üzere üç şekilde gösterilebilir.","Köşeli parantez \"dahil\" anlamına, açık parantez ise \"dahil değil\" anlamına gelir."]},"beginTime":279,"endTime":375,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=279&ask_summarization=1"},{"index":5,"title":"Kapalı ve Açık Aralıklar","list":{"type":"unordered","items":["Kapalı aralıkta, eşitlik olduğu taraflara köşeli parantez kullanılır ve sayı doğrusunda içi dolu gösterilir.","Açık aralıkta, eşitlik olmadığı taraflara açık parantez kullanılır ve sayı doğrusunda içi boş gösterilir.","Kapalı aralıkta \"ilk sayımız bu aralıktadır\" denirken, açık aralıkta \"ilk sayımız bunların arasındadır\" denir."]},"beginTime":375,"endTime":470,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=375&ask_summarization=1"},{"index":6,"title":"Sayı Doğrusunda Aralıklar","list":{"type":"unordered","items":["Sayı doğrusunda aralık gösterirken, eşitlik olmadığı durumlarda sınırları açık bırakmak gerekir, sınırları değiştirerek aralığı daraltmamak önemlidir.","Yarı açık aralıkta bir tarafa eşitlik varken diğer tarafa eşitlik yoksa, eşitlik olan tarafta köşeli parantez, eşitlik olmayan tarafta açık parantez kullanılır.","Sayı doğrusunda gösterimde, eşitlik olan noktaların içi dolu, eşitlik olmayan noktaların içi boş bırakılır."]},"beginTime":475,"endTime":656,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=475&ask_summarization=1"},{"index":7,"title":"Kümelerde İşlemler","list":{"type":"unordered","items":["Kümelerde kesişim işlemi, iki kümenin ortak elemanlarını bulmayı ifade eder.","Birleşim işlemi, iki kümenin tüm elemanlarını birleştirmeyi ve en geniş küme oluşturmayı sağlar.","Fark işlemi, bir kümede olup diğerinde olmayan elemanları gösterir (A fark B: A'da olup B'de olmayanlar)."]},"beginTime":656,"endTime":903,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=656&ask_summarization=1"},{"index":8,"title":"Küme Tümleyeni ve Kesişim","list":{"type":"unordered","items":["Bir kümenin tümleyeni, o kümede olmayan tüm elemanları ifade eder.","Küme kesişim işlemi, iki kümenin ortak elemanlarını bulmayı sağlar.","Soruda yanlış olan şıkkı bulmak için kümeleri sayı doğrusunda gösterip karşılaştırma yapmak önemlidir."]},"beginTime":903,"endTime":1036,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=903&ask_summarization=1"},{"index":9,"title":"Eşitsizliklerde Sayı Ekleme ve Çıkarma Özelliği","list":{"type":"unordered","items":["Eşitsizliklerde, denklemlerde olduğu gibi, bir sayıyı eşitsizliğin bir tarafından diğerine işaret değiştirerek geçirebiliriz.","Bir eşitsizliğin her iki tarafına aynı sayı eklenir veya çıkarılırsa, eşitsizliğin yönü değişmez.","Eşitsizliklerde, denklemlerde olduğu gibi, bir a fazlalık sayı varsa eşitsizliğin karşı tarafına işaret değiştirerek geçirebiliriz."]},"beginTime":1041,"endTime":1207,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=1041&ask_summarization=1"},{"index":10,"title":"Eşitsizliklerde Pozitif Sayıyla Çarpma ve Bölme Özelliği","list":{"type":"unordered","items":["Bir eşitsizliğin her iki tarafı aynı pozitif sayıyla çarpılır veya bölünebilir.","Pozitif bir sayıyla çarpıldığında veya bölündüğünde, eşitsizliğin yönü değiştirmez.","Eşitsizliklerde, denklemlerde olduğu gibi, bir sayının önündeki pozitif bir sayı varsa, eşitsizliği çözmek için her iki tarafı o sayıya bölebiliriz."]},"beginTime":1207,"endTime":1417,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=1207&ask_summarization=1"},{"index":11,"title":"Eşitsizliklerde Çarpma ve Bölme Kuralları","list":{"type":"unordered","items":["Pozitif sayıyla çarpıldığında veya bölündüğünde eşitsizliğin yönü aynen kalır.","Negatif bir sayıyla çarpıldığında veya bölündüğünde eşitsizlik yön değiştirir.","Eşitsizliğin her iki tarafı aynı negatif sayıyla çarpılır veya bölünürse eşitsizlik yön değiştirir."]},"beginTime":1419,"endTime":1473,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=1419&ask_summarization=1"},{"index":12,"title":"Eşitsizliklerde Negatif Sayılarla İşlemler","list":{"type":"unordered","items":["Negatif sayıyla çarpma veya bölme işlemi yapıldığında eşitsizlik yönünün değişmesi gerekir.","Eşitsizlik konularında içler dışlar çarpımı yapmak sıkıntı yaratır, bu nedenle önerilmez.","Eksi bir ile çarpma işlemi yapıldığında eşitsizlik yönü değişir."]},"beginTime":1473,"endTime":1690,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=1473&ask_summarization=1"},{"index":13,"title":"Eşitsizliklerde Sayıların İşareti","list":{"type":"unordered","items":["Bir eşitsizlikte yön değişimi olmadıysa, çarptığı veya böldüğü sayı pozitiftir.","Bir eşitsizlikte yön değişimi varsa, çarptığı veya böldüğü sayı negatiftir.","Eşitsizlikte yön değişimi olup olmadığı, çarpan sayının işaretini belirler."]},"beginTime":1690,"endTime":1763,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=1690&ask_summarization=1"},{"index":14,"title":"Eşitsizlik Sorusu Çözümü","list":{"type":"unordered","items":["Eşitsizlik çözüldüğünde x > -4 sonucuna ulaşılır.","Eşitsizliği sağlayan iki farklı tam sayı değerinin toplamının en küçük değeri -5'tir.","Eşitsizlik çözümünde x'in işareti eksi gelirse, bir de eksiyle çarpıp bölme işlemi yapılmalıdır."]},"beginTime":1763,"endTime":1892,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=1763&ask_summarization=1"},{"index":15,"title":"Eşitsizliklerde İçler Dışlar Çarpımı Kullanımı","list":{"type":"unordered","items":["Eşitsizliklerde içler dışlar çarpımı yaparken, paydaların işaretlerine dikkat edilmelidir.","Her iki paydanın işaretleri pozitifse içler dışlar çarpımı yapıldığında yön değişikliği olmaz, ancak biri eksi ise yön değişmesi gerekir.","En güvenli çözüm yöntemi, payda eşitlemek veya bir tarafı sıfır yapmaktır."]},"beginTime":1893,"endTime":1934,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=1893&ask_summarization=1"},{"index":16,"title":"Eşitsizlik Örneği Çözümü","list":{"type":"unordered","items":["Verilen eşitsizlik 2x+1/4-x+13/1=12/0 olarak çözülmektedir.","Payda eşitlenerek 3 ile 2x+1 çarpımı ve -4 ile x+13 çarpımı yapılmıştır.","İşlemler sonucunda 2x-37>0 eşitsizliği elde edilmiştir."]},"beginTime":1934,"endTime":2015,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=1934&ask_summarization=1"},{"index":17,"title":"Sonuç ve Alternatif Çözüm Yöntemi","list":{"type":"unordered","items":["Eşitsizliğin çözümü x>37/2, yani x>18,5 olarak bulunmuştur.","En küçük tam sayı değer olarak x=19 olarak belirlenmiştir.","Her iki paydanın pozitif olduğu durumlarda içler dışlar çarpımı yapılabilir, ancak eksi işareti varsa eşitsizlik yönü değişmelidir."]},"beginTime":2015,"endTime":2080,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=2015&ask_summarization=1"},{"index":18,"title":"Eşitsizlik Çözümü","list":{"type":"unordered","items":["Eşitsizlikte bölüm durumunda artı beş varken, hepsini artı beş ile çarpma işlemi yapılıyor.","Eksi üç x'in bulunması için her iki taraf eksi üç'e bölünüyor, ancak negatif sayıya bölündüğünde eşitsizlik yön değiştiriyor.","Eşitsizliğin çözümü x \u003c -3 olarak bulunuyor ve -4, -5, -6, -7 tam sayı değerleri için doğru cevap B şıkkı olarak belirleniyor."]},"beginTime":2081,"endTime":2164,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=2081&ask_summarization=1"},{"index":19,"title":"Farklı Yöntemlerle Eşitsizlik Çözümü","list":{"type":"unordered","items":["Eşitsizlik probleminde içler dışlar yöntemi yerine farklı yöntemler kullanılabilir.","Eksi işaretini paydan kaldırmak için parantez kullanılarak çözüm yapılabilir veya eksi sayıyla çarpılarak eşitsizlik yönü değiştirilebilir.","Farklı yöntemlerle x > -1 sonucu bulunuyor ve hangi yöntem kolay gelen kişiye göre kullanılabilir."]},"beginTime":2164,"endTime":2340,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=2164&ask_summarization=1"},{"index":20,"title":"İki Eşitsizlikli Problemler","list":{"type":"unordered","items":["İki eşitsizlik içeren problemlerde önce her eşitsizlik ayrı ayrı çözülür.","İlk eşitsizlikten x > -2, ikinci eşitsizlikten x ≤ 2 sonucu bulunuyor.","İki eşitsizliği birleştirerek -2 \u003c x ≤ 2 aralığı elde edilir ve bu aralıkta 4 farklı tam sayı değeri vardır."]},"beginTime":2340,"endTime":2479,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=2340&ask_summarization=1"},{"index":21,"title":"Uygulamalı Eşitsizlik Sorusu","list":{"type":"unordered","items":["Küre biçimindeki topun kutunun içerisine girmesi için yarıçapı x-3 birim olan topun çapının 13 birimden küçük olması gerekir.","Eşitsizlik 2x-6 \u003c 13 olarak kurulur ve ayrıca çapın sıfırdan büyük olması için 2x-6 > 0 koşulu da eklenir.","Çözüm kümesi 3 \u003c x ≤ 9,5 olarak bulunur ve bu aralıkta 6 farklı tam sayı değeri vardır."]},"beginTime":2479,"endTime":2642,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=2479&ask_summarization=1"},{"index":22,"title":"Eşitsizlik Problemlerinin Farklılıkları","list":{"type":"unordered","items":["İki benzer görünen eşitsizlik probleminin çözüm kümesinin farklı olabileceğini gösteren örnekler verilir.","Birinci probleminde x tam sayı olarak belirtilmişken, ikinci probleminde x'in tam sayı olmadığından farklı sonuçlar elde edilir.","Eşitsizlik problemlerinde x'in tam sayı olup olmadığına dikkat edilmesi gerektiği vurgulanır."]},"beginTime":2642,"endTime":2724,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=2642&ask_summarization=1"},{"index":23,"title":"Eşitsizlik Sorularında Tam Sayı Kullanımı","list":{"type":"unordered","items":["Eşitsizlik sorularında, aralıktan seçilen sayıların tam sayı olduğu belirtilirse, soru aralık kullanarak değil, değer vererek çözülür.","Eğer soruda \"x eleman tam sayı\" denilmezse veya \"x eleman gerçel sayı\" denilirse, soru aralığı kullanılarak çözülür.","Tam sayı aralığından en büyük ve en küçük değerler seçilerek, a'nın en büyük ve en küçük değerleri bulunur."]},"beginTime":2733,"endTime":2868,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=2733&ask_summarization=1"},{"index":24,"title":"Örnek Soru Çözümü","list":{"type":"unordered","items":["Eksi yedi ile dört aralığında x tam sayı olduğunda, a=3x-2 formülüyle a'nın en büyük değeri 4, en küçük değeri -20 olarak bulunur.","Tam sayı aralığından en büyük değer 4, en küçük değer -6 seçilerek, a'nın değerleri hesaplanır.","Eksi dört ile eksi yedi aralığında x tam sayı olduğunda, a=5x-4 formülüyle a'nın en büyük değeri 26, en küçük değeri -24 olarak bulunur."]},"beginTime":2868,"endTime":3088,"href":"/video/preview/12125322945172942061?parent-reqid=1767399173419367-3310352756559126202-balancer-l7leveler-kubr-yp-vla-190-BAL&text=steve+basit&t=2868&ask_summarization=1"},{"index":25,"title":"Konunun Püf Noktası","list":{"type":"unordered","items":["Sorunun önemli olduğu nokta, aralıkta ne var ve x'e tam sayı denilip denilmediğidir.","X'e tam sayı denilmezse, aralık kullanılarak çözüm yapılır; denilirse, değer vererek çözülür.","Aralıktan seçilen sayı tam sayı olduğunda, soru bir eşitsizlik sorusu değildir, değer vererek 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