How do you solve and graph the compound inequality $-16 < -3x + 8 < -7$ ?

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Answer 1 · 2015-05-23T17:15:14

Subtract 8 from the compound inequality -16< -3x +8< -7, to have

-24<-3x<-15. Now divide it by 3 to have

-8<-x<-5

8>x>5 is thus the required solution.

How do you solve and graph the compound inequality -16 < -3x + 8 < -7-16 < -3x + 8 < -7 ?