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Сердцебеение
@Сердцебеение
July 2022
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Решите неравенство
а) (2/5)^4-x<(5/2)^2x+1
б)(2/7)^3-x<(7/2)^3x-1
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sedinalana
Verified answer
1
(5/2)^x-4<(5/2)^2x+1
x-4<2x+1
2x-x>-4-1
x>-5
x∈(-5;∞)
2
(7/2)^x-3<(7/2)^3x-1
x-3<3x-1
3x-x>-3+1
2x>-2
x>-1
x∈(-1;∞)
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Answers & Comments
Verified answer
1(5/2)^x-4<(5/2)^2x+1
x-4<2x+1
2x-x>-4-1
x>-5
x∈(-5;∞)
2
(7/2)^x-3<(7/2)^3x-1
x-3<3x-1
3x-x>-3+1
2x>-2
x>-1
x∈(-1;∞)