Solve the Inequality for p -8(p+2)<-56

$- 8 (p + 2) < - 56$

Divide each term in $- 8 (p + 2) < - 56$ by $- 8$ and simplify.

Divide each term in $- 8 (p + 2) < - 56$ by $- 8$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 8 (p + 2)}{- 8} > \frac{- 56}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 (p + 2)}{- 8} > \frac{- 56}{- 8}$

Divide $p + 2$ by $1$ .

$p + 2 > \frac{- 56}{- 8}$

Simplify the right side.

Divide $- 56$ by $- 8$ .

$p + 2 > 7$

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

Subtract $2$ from both sides of the inequality.

$p > 7 - 2$

Subtract $2$ from $7$ .

$p > 5$

The result can be shown in multiple forms.

Inequality Form:

$p > 5$

Interval Notation:

$(5, \infty)$

Solve the Inequality for p -8(p+2)<-56

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