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

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

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

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

Move all terms not containing $x$ to the right side of the inequality.

Add $3$ to both sides of the inequality.

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

Add $- 3$ and $3$ .

$\frac{x}{2} \leq 0$

Multiply both sides by $2$ .

$\frac{x}{2} \cdot 2 \leq 0 \cdot 2$

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{x}{2} \cdot 2 \leq 0 \cdot 2$

Rewrite the expression.

$x \leq 0 \cdot 2$

Simplify the right side.

Multiply $0$ by $2$ .

$x \leq 0$

The result can be shown in multiple forms.

Inequality Form:

$x \leq 0$

Interval Notation:

$(- \infty, 0]$