Question

Lydia solved the inequality 14<−4a−8 for a and is now trying to determine which numbers satisfy this inequality.

Move the values of a that satisfy this linear inequality into the box below.


-8, -6, -4, 4, 6, 8

Answer 1

-4 and 4

Explanation:

Given the inequality 14<−4a−8 we are to find the range of values of a in the inequality

Given

14<−4a−8

Add 8 to both sides

14+8<−4a−8+8

22<-4a

Divide both sides by -4

22/-4 >-4a/4

22/-4 >a

5.5>a

This means that a<5.5

The values that satisfies the inequality are values less than 5.5. This includes

-4 and 4