# How do you solve the inequality -5 ≤ 4r + 3?

May 27, 2018

$r \ge - 2$

#### Explanation:

$\text{isolate "4r" by subtracting 3 from both sides}$

$- 5 - 3 \le 4 r$

$- 8 \le 4 r$

$\text{divide both sides by 4}$

$- 2 \le r \text{ or "r>=-2" is the solution}$

$r \in \left[- 2 , \infty\right) \leftarrow \textcolor{b l u e}{\text{in interval notation}}$