Question

Rezolvati in Z incecuatiile : a) 2(x-1) < -18 b) 3(x+1)<-18 c) 4(x+2) ≥ -8 d) 2(x+8) ≤ -10 e)5(x+1) <0 f)2(x+5)+3 <-9 g) 3+2(x+2) < 5.
REPEDE VA ROGG

Answer 1

a)2(x-1)<-18⇒2x-2<-18⇒2x<2-18⇒2x<-16⇒x<-16/2⇒x>-8
b)3(x+1)<-18⇒3x+3<-18⇒3x<-18-3⇒3x<-21⇒x<-21/3⇒x<-7
c)4(x+2)≥-8⇒4x+8≥-8⇒4x≥-8-8⇒4x≥-16⇒x≥-16/4⇒x≥-4
d)2(x+8)≤-10⇒2x+16≤-10⇒2x≤-10-16⇒2x≤-26⇒x≤-26/2⇒x≤-13
e)5(x+10)<0⇒5x<-10⇒x>-10/5⇒x.-2
f)2(x+5)+3<-9⇒2x+10+3<-9⇒2x+13<-9⇒2x>-13-9⇒2x<-22⇒x<-22/2⇒x<-11
g)3+2(x+2)<5⇒3+2x+4<5⇒2x+7<5⇒2x<-7+5⇒2x<-2⇒x<-2/2⇒x<-1
succes