Solve the Inequality for x x/3<=1/2

$\frac{x}{3} \leq \frac{1}{2}$

Multiply both sides by $3$ .

$\frac{x}{3} \cdot 3 \leq \frac{1}{2} \cdot 3$

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{x}{3} \cdot 3 \leq \frac{1}{2} \cdot 3$

Rewrite the expression.

$x \leq \frac{1}{2} \cdot 3$

$x \leq \frac{1}{2} \cdot 3$

$x \leq \frac{1}{2} \cdot 3$

Simplify the right side.

Combine $\frac{1}{2}$ and $3$ .

$x \leq \frac{3}{2}$

$x \leq \frac{3}{2}$

$x \leq \frac{3}{2}$

The result can be shown in multiple forms.

Inequality Form:

$x \leq \frac{3}{2}$

Interval Notation:

$(- \infty, \frac{3}{2}]$

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