Question

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

Answer 1

Answer:

z<-2 or z<1

Step-by-step explanation:

The compound inequality to be solved is

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

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

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

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

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