x−1/3≤1/2. 

To solve for x, we can start by adding 1/3 to both sides of the equation to isolate x:

x - 1/3 + 1/3 ≤ 1/2 + 1/3

Simplifying, we get:

x ≤ 1/2 + 1/3

To add these fractions, we need a common denominator, which is 6:

x ≤ (3/6) + (2/6)

Adding fractions with a common denominator:

x ≤ 5/6

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