Solve x−1/3≤1/2 . (1 point) Responses x≥5/6 x greater-than-or-equal-to Start Fraction 5 over 6 End Fraction x≤1/6 x less-than-or-equal-to Start Fraction 1 over 6 End Fraction x≤5/6 x less-than-or-equal-to Start Fraction 5 over 6 End Fraction x≥1/6

1 answer

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

Adding 1/3 to both sides, we have:
x - 1/3 + 1/3 ≤ 1/2 + 1/3
x ≤ 1/2 + 1/3

To add these fractions, we need a common denominator:
x ≤ (3/6) + (2/6)
x ≤ 5/6

Therefore, the solution to the inequality is x ≤ 5/6.