How do you solve -8(z+6)<-8z-7?

Jan 4, 2017

Move all of the constants to one side of the equation with algebraic operations just as with and equality. Change the inequality direction only when multiplying or dividing by a negative number.

Explanation:

1) Perform the indicated multiplications to get all of the factors.

−8 (z+6) < −8z − 7 ; -8z – 48 < -8z - 7

2) Add 8z to both sides and the inequality is shown to be true.
-48 < -7