Solve the Inequality for x -16>x÷2

$- 16 > x \div 2$

Multiply both sides by $2$ .

$- 16 \cdot 2 > x \div 2 \cdot 2$

Simplify.

Simplify the left side.

Multiply $- 16$ by $2$ .

$- 32 > x \div 2 \cdot 2$

Simplify the right side.

Simplify $x \div 2 \cdot 2$ .

Rewrite the division as a fraction.

$- 32 > \frac{x}{2} \cdot 2$

Cancel the common factor of $2$ .

Cancel the common factor.

$- 32 > \frac{x}{2} \cdot 2$

Rewrite the expression.

$- 32 > x$

Rewrite so $x$ is on the left side of the inequality.

$x < - 32$

The result can be shown in multiple forms.

Inequality Form:

$x < - 32$

Interval Notation:

$(- \infty, - 32)$