Question

Solve x−1/3≤1/2
. (1 point)
Responses

x≤16
x less-than-or-equal-to Start Fraction 1 over 6 End Fraction

x≥56
x greater-than-or-equal-to Start Fraction 5 over 6 End Fraction

x≤56
x less-than-or-equal-to Start Fraction 5 over 6 End Fraction

x≥16

Answer 1

To solve the inequality \( x - \frac{1}{3} \leq \frac{1}{2} \), follow these steps:

1. Add \( \frac{1}{3} \) to both sides of the inequality:

\[
x \leq \frac{1}{2} + \frac{1}{3}
\]

2. Find a common denominator to add the fractions. The least common denominator of 2 and 3 is 6.

\[
\frac{1}{2} = \frac{3}{6}
\]

\[
\frac{1}{3} = \frac{2}{6}
\]

3. Now add the two fractions:

\[
\frac{3}{6} + \frac{2}{6} = \frac{5}{6}
\]

4. Thus, the inequality becomes:

\[
x \leq \frac{5}{6}
\]

So the solution is:

\[
x \leq \frac{5}{6}
\]

The correct response is:

**x ≤ 5/6**.