# How do you solve the inequality 7 + 2p< -14?

Jun 26, 2018

$p < - \frac{21}{2}$

#### Explanation:

$7 + 2 p < - 14$

Subtracting $7$ from both sides;

$7 + 2 p - 7 < - 14 - 7$

$7 - 7 + 2 p < - 21$

$0 + 2 p < - 21$

$2 p < - 21$

Dividing both sides by the coefficient of $p$

$\frac{2 p}{2} < - \frac{21}{2}$

$\frac{\cancel{2} p}{\cancel{2}} < - \frac{21}{2}$

$p < - \frac{21}{2}$

Jul 5, 2018

$p < - \frac{21}{2}$

#### Explanation:

Recall that we want to isolate $p$. We can start by subtracting $7$ from both sides to get

$2 p < - 21$

Dividing both sides by $2$ gives us

$p < - \frac{21}{2}$

Hope this helps!