Question

Va rooog ajutor rezolvati inecuatiile

Answer 1

d) 1/2(x+2) - (2x+1)/(x+2) < 1/2

Aducem la acelasi numitor.

(1-4x-2-x-2)/2(x+2)<0
-5-3x/2x+4<0
-5-3x<0 /*-1 => 3x>-5 => x>-5/3
2x+4<0 => 2x<-4 => x<-2
=>-2<x<-5/3

e)(x+4)(x+1)/(2x+3)>0
(x^2+5x+4)/(2x+3)>0
x^2+5x+4=0
(x+1)(x+4)=0 => x=-1; x=-4
2x+3=0 => x=-3/2

−4<x<−3/2 sau x>1