To solve the inequality \( x - \frac{1}{3} \leq \frac{1}{2} \), follow these steps:
- Add \( \frac{1}{3} \) to both sides of the inequality:
\[ x \leq \frac{1}{2} + \frac{1}{3} \]
- To add \( \frac{1}{2} \) and \( \frac{1}{3} \), you first need a common denominator. The least common multiple of 2 and 3 is 6. Convert both fractions:
\[ \frac{1}{2} = \frac{3}{6}, \quad \frac{1}{3} = \frac{2}{6} \]
- Now, add the fractions:
\[ \frac{3}{6} + \frac{2}{6} = \frac{5}{6} \]
- Thus, the inequality becomes:
\[ x \leq \frac{5}{6} \]
The correct response is:
x ≤ 5/6 (x less-than-or-equal-to Start Fraction 5 over 6 End Fraction)