Answer:
x ≤ 4/7
Step-by-step explanation:
Simplify the given 2x ≤ -2/3 (4x + 4) by multiplying both sides by (3/2):
(3/2)(2x) ≤ (3/2)(-2/3)(4x + 4)
We get 3x ≤ -4x - 4
Solve for x by combining like terms. Add 4x to both sides, obtaining
7x ≤ 4
and so the solution is the set
x ≤ 4/7