Question

Solve the following inequality:

78 < −6(x-7) < 150

a) -32 < x < -20
b) -32 < x < -6
c) -18 < x < -6
d) -20 < x < -18

Answer 1

. C

Explanation:

78<-6(x-7)<150

=78<-6x+42<150

=78-42<-6x+42-42<150-42

=36<-6x<108

=36/-6>-6x/-6>108/-6

=-6>x>-18