Algebra-1

To solve the compound inequalities 4x - 12 ≤ 0 and x + 13 > 6, we need to solve each inequality separately and then find the intersection of the two.

Solve the first inequality 4x - 12 ≤ 0:

4x - 12 ≤ 0

4x - 12 + 12 ≤ 0 + 12 (add 1 to both sides)

4x ≤ 12

4x/4 ≤ 12/4 (divide both sides by 4)

x ≤ 3