Solve x-1/3<_1/2. X<_1/6,:x>_1/6, x<_5/6, or x>_5/6

To solve the inequality x - 1/3 ≤ 1/2, we need to isolate x on one side of the inequality sign.

Adding 1/3 to both sides:
x - 1/3 + 1/3 ≤ 1/2 + 1/3
x ≤ 5/6

Therefore, the solution to the inequality x - 1/3 ≤ 1/2 is x ≤ 5/6.