Solve the Inequality for p p+4-2(p-10)>0

$p + 4 - 2 (p - 10) > 0$

Simplify $p + 4 - 2 (p - 10)$ .

Simplify each term.

Apply the distributive property.

$p + 4 - 2 p - 2 \cdot - 10 > 0$

Multiply $- 2$ by $- 10$ .

$p + 4 - 2 p + 20 > 0$

Simplify by adding terms.

Subtract $2 p$ from $p$ .

$- p + 4 + 20 > 0$

Add $4$ and $20$ .

$- p + 24 > 0$

Subtract $24$ from both sides of the inequality.

$- p > - 24$

Divide each term in $- p > - 24$ by $- 1$ and simplify.

Divide each term in $- p > - 24$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- p}{- 1} < \frac{- 24}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{p}{1} < \frac{- 24}{- 1}$

Divide $p$ by $1$ .

$p < \frac{- 24}{- 1}$

Simplify the right side.

Divide $- 24$ by $- 1$ .

$p < 24$

The result can be shown in multiple forms.

Inequality Form:

$p < 24$

Interval Notation:

$(- \infty, 24)$

Solve the Inequality for p p+4-2(p-10)>0

Related Questions

Support LCMGCF.com by disabling your adblocker.