Question

Solve the inequality using the Distributive Property. -4(y-6) ≤ (-9+y)(-2)

Answer 1

3 ≤ y

Explanation:

-4(y-6) ≤ (-9+y)(-2)

Distribute

-4y +24 ≤ 18 -2y

Add 4y to each side

-4y+4y +24 ≤ 18 -2y+4y

24≤ 18 +2y

Subtract 18 from each side

24-18≤ 18-18 +2y

6 ≤ 2y

Divide by 2

6/2≤ 2y/2

3 ≤ y