Question

Решить неравенство. 75 баллов
$(1+frac{1}{2} ^{x})(x+1) textless (frac{3}{2})^{x} *3$

Answer 1

(1+(1/2)^х*(х+1)<(3/2)^х*3
(1/2)^х>0;х€R
(3/2)^x>0;x€R

1+(1/2)^x>0
3*(3/2)^x>0
x+1≤0
x≤-1