Question

Solve the inequality express your answer in interval notation use decimal form for numerical value and graph it

Answer 1

`(-\infty \:,\:-6]\cup \:[4,\:\infty \:)`

Explanation:

We have the following inequality:

`4\left|w+1\right|\ge 20`

We solve for w:

`\begin{gathered} (4\left|w+1\right|)/(4)\ge (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}`

The graph of the solution would be the following: