Question

Qual o conjunto solução da inequação |x+1|-2+x > 0

Answer 1

Propriedade:

$|a|>b\:\:$ então $a<-b\:\:ou\:\:a>b$

$|x+1|-2+x>0\\\\|x+1|>2-x\\\\x+1<-(2-x)\:\:ou\:\:x+1>2-x\\\\x+1<-2+x\:\:ou\:\:x+1>2-x\\\\1<-2\:\:ou\:\:2x>1\\\\x>\frac{1}{2}\\\\\\S=\{x\in\mathbb{R}\:|\:x>\frac{1}{2}\}$