Javob: A) cheksiz ko’p
2.2.5. (00-10-65) Tengsizlikni yeching.
A) {2} B) (1;5) C) (-2;3) D) (arccos1;10) E) yechimi yo’q
Yechish. x ning ixtiyoriy qiymatida tengsizlik o’rinli. funksiyaning aniqlanish sohasini topamiz.
Agar tengsizlikni ham hisobga olsak, quyidagi tenglamaga ega bo’lamiz:
Bu tenglamani ishlab, x=2 yechimga ega bo’lamiz. Bundan kelib chiqadiki, bizga berilgan tengsizlik bitta, faqatgina x=2 nuqtada aniqlangan. Bu nuqtani o’rniga qo’yish usulidan foydalanib tekshirib ko’rsak, tengsizlikni qanoatlantirmasligini ko’ramiz. Demak, berilgan tengsizligimiz yechimga ega emas.
Javob: E) yechimi yo’q
2.2.6. (99-4-56) Tengsizlikni yeching.
A) B) C) D)
E) ![](data:image/png;base64,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)
Yechish. Berilgan tengsizlikning aniqlanish sohasini topamiz:
ekanligidan,
tengsizlikka ega bo’lamiz. Lekin,
bo’lganligi uchun berilgan tengsizlik faqatgina
da o’rinli bo’ladi.
Demak,
Do'stlaringiz bilan baham: |