ANSWER:
[tex](-\infty \:,\:-6]\cup \:[4,\:\infty \:)[/tex]
STEP-BY-STEP EXPLANATION:
We have the following inequality:
[tex]4\left|w+1\right|\ge 20[/tex]
We solve for w:
[tex]\begin{gathered} \frac{4\left|w+1\right|}{4}\ge \frac{20}{4} \\ \\ \left|w+1\right|\ge \:5 \\ \\ w+1\le\:-5\text{ or }\:w+1\ge\:5 \\ \\ w+1-1\leq-5-1\text{ or }w+1-1\ge5-1 \\ \\ w\le\:-6\text{ or }w\ge\:4 \\ \\ \text{ In interval notation it would be:} \\ \\ \:(-\infty \:,\:-6]\cup \:[4,\:\infty \:) \end{gathered}[/tex]
The graph of the solution would be the following:
[tex][/tex]
