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Scrat [10]
3 years ago
11

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

Mathematics
1 answer:
kicyunya [14]3 years ago
7 0

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-8 + 6

\implies \:5z-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

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