# How do you solve abs(p+3)=9.5?

Aug 1, 2015

$p = 6.5$ or $p = - 12.5$

#### Explanation:

Your absolute value equation looks like this

$| p + 3 | = 9.5$

This equation can produce 2 values for $p$, depending on which condition is true

• If $\left(p + 3\right) < 0$, you have

$| p + 3 | = - \left(p + 3\right) = - p - 3 = 9.5$

This will get you

$p = - 3 - 9.5 = \textcolor{g r e e n}{- 12.5}$

• If $\left(p + 3\right) > 0$, you have

$| p + 3 | = p + 3 = 9.5$

This time,

$p = 9.5 - 3 = \textcolor{g r e e n}{6.5}$