Solve the inequality.

42 < - 6d

A. d < - 7

B. d < 36

C. d > - 7

D. d < - 48

The answer is C. Divide by - 6 on both sides. The sign is flipped when you divide by a negative that's why its C and not A

Whenever you are working with inequalities, you want to first isolate the variable by doing the inverse of what was already done.

42<-6d

They have multiplied d by - 6, so we have to divide both sides by - 6. - 6/-6=1. 42/-6 is - 7. When you multiply/divide by a negative number, you have to flip the inequality sign. So we have - 7-7. Flip the sign and you have d<-7, so your answer is A.