Solve the Inequality for x x/-2-17>-13

$\frac{x}{- 2} - 17 > - 13$

Move the negative in front of the fraction.

$- \frac{x}{2} - 17 > - 13$

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

Add $17$ to both sides of the inequality.

$- \frac{x}{2} > - 13 + 17$

Add $- 13$ and $17$ .

$- \frac{x}{2} > 4$

Divide each term in $- \frac{x}{2} > 4$ by $- 1$ and simplify.

Divide each term in $- \frac{x}{2} > 4$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{x}{2}}{- 1} < \frac{4}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{x}{2}}{1} < \frac{4}{- 1}$

Divide $\frac{x}{2}$ by $1$ .

$\frac{x}{2} < \frac{4}{- 1}$

Simplify the right side.

Divide $4$ by $- 1$ .

$\frac{x}{2} < - 4$

Multiply both sides by $2$ .

$\frac{x}{2} \cdot 2 < - 4 \cdot 2$

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{x}{2} \cdot 2 < - 4 \cdot 2$

Rewrite the expression.

$x < - 4 \cdot 2$

Simplify the right side.

Multiply $- 4$ by $2$ .

$x < - 8$

The result can be shown in multiple forms.

Inequality Form:

$x < - 8$

Interval Notation:

$(- \infty, - 8)$

Solve the Inequality for x x/-2-17>-13

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