Solve the compound inequality: 5z+3<-7 or -2z-6>-8

Question

asked Aug 17, 2020 88.5k views

1 Answer

Allan Taylor · Answer 1 · 2020-08-21T02:37:58+0000

Answer:

z<-2 or z<1

Explanation:

The compound inequality to be solved is

5z+3<-7 or -2z-6>-8

$\implies \:5z<-7 - 3 \: or -2z>-8 + 6$

$\implies \:5z<-10 \: or -2z>-2$

$\implies \: (5z)/(5) < ( - 10)/(5) \: or (-2z)/(-2) > ( - 2)/( - 2)$

Simplifying we get,

z<-2 or z<1

NB: the inequality sign at the right side of or has changed because we have divided through by -2