Solve the Inequality for p p/-8+9>13

$\frac{p}{- 8} + 9 > 13$

Step 1

Move the negative in front of the fraction.

$- \frac{p}{8} + 9 > 13$

Step 2

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

Subtract $9$ from both sides of the inequality.

$- \frac{p}{8} > 13 - 9$

Subtract $9$ from $13$ .

$- \frac{p}{8} > 4$

Step 3

Divide each term in $- \frac{p}{8} > 4$ by $- 1$ and simplify.

Divide each term in $- \frac{p}{8} > 4$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{p}{8}}{- 1} < \frac{4}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{p}{8}}{1} < \frac{4}{- 1}$

Divide $\frac{p}{8}$ by $1$ .

$\frac{p}{8} < \frac{4}{- 1}$

Simplify the right side.

Divide $4$ by $- 1$ .

$\frac{p}{8} < - 4$

Step 4

Multiply both sides by $8$ .

$\frac{p}{8} \cdot 8 < - 4 \cdot 8$

Step 5

Simplify.

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{p}{8} \cdot 8 < - 4 \cdot 8$

Rewrite the expression.

$p < - 4 \cdot 8$

Simplify the right side.

Multiply $- 4$ by $8$ .

$p < - 32$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$p < - 32$

Interval Notation:

$(- \infty, - 32)$

Solve the Inequality for p p/-8+9>13

Related Questions

Support LCMGCF.com by disabling your adblocker.