Solve the Inequality for p -14<=-7p

$- 14 \leq - 7 p$

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

$- 7 p \geq - 14$

Divide each term in $- 7 p \geq - 14$ by $- 7$ and simplify.

Divide each term in $- 7 p \geq - 14$ by $- 7$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 7 p}{- 7} \leq \frac{- 14}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 p}{- 7} \leq \frac{- 14}{- 7}$

Divide $p$ by $1$ .

$p \leq \frac{- 14}{- 7}$

Simplify the right side.

Divide $- 14$ by $- 7$ .

$p \leq 2$

The result can be shown in multiple forms.

Inequality Form:

$p \leq 2$

Interval Notation:

$(- \infty, 2]$

Solve the Inequality for p -14<=-7p

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