Решите неравенство а)(3/4)^1-2x>(4/3)^x+5 б)(2/3)^3x-7>(3/2)^4x+1

Question

Решите неравенство
а)(3/4)^1-2x>(4/3)^x+5
б)(2/3)^3x-7>(3/2)^4x+1

Answer 1

1
(4/3)^2x-1>(4/3)^x+5
2x-1>x+5
2x-x>5+1
x>6
x∈(6;∞)
2
(3/2)^7-3x>(3/2)^4x+1
7-3x>4x+1
4x+3x<7-1<br>7x<6<br>x<6/7<br>x∈(-∞;6/7)