# How do you solve and graph abs(4p+2)>=10?

Feb 23, 2018

$p \in \left(- \infty , - 3\right] \cup \left[2 , + \infty\right)$

#### Explanation:

$\left\mid 4 p + 2 \right\mid \ge 10$

Then, either $4 p + 2 \ge + 10 \mathmr{and} 4 p + 2 \le - 10$

Hence, either $4 p \ge 8 \to p \ge 2$

or $4 p \le 12 \to p \le 3$

Thus, the solution set for $p$ is $\left(- \infty , - 3\right] \cup \left[2 , + \infty\right)$

This result can be shown graphically below.

Where $p$ is represented on the vertical axis.