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:
\[ x \leq \frac{1}{2} + \frac{1}{3} \]
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To add these fractions, find a common denominator. The least common multiple of \(2\) and \(3\) is \(6\).
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Convert both fractions to have a denominator of \(6\):
\[ \frac{1}{2} = \frac{3}{6} \]
\[ \frac{1}{3} = \frac{2}{6} \]
- Now add the fractions:
\[ \frac{3}{6} + \frac{2}{6} = \frac{5}{6} \]
- So, the inequality simplifies to:
\[ x \leq \frac{5}{6} \]
The correct response is:
x less-than-or-equal-to Start Fraction 5 over 6 End Fraction.
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