Question

A soluçao da inequaçao ( 1/2 )x² +5 x +1 >(1/2) é:

Answer 1

(1/2)^(x²+5x+1)>(1/2) 
(1/2)^(x²+5x+1)>(1/2)^1 
x²+5x+1>1 
x²+5x+1-1>0 
x²+5x>0 
x(x+5)>0 
x+5>0 
x>-5 
x>0 
S={x pertence ]-∞;-5[ U ]0;+∞