-2/3(2x-1/2) ≤1/5x-1
Simplify the left side:
-4/3x+1/3 ≤1/5x-1
Subtract 1/5x from each side:
-23/15x + 1/3≤-1
Subtract 1/3 from each side:
-23/15x ≤-4/3
Divide both sides by -23/15:
X = -4/3 / -23/15
X ≥ 20/23
Convert to interval notation:
[ 20/23 , ∞)