Question

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Solve the inequality. Then, graph the solution set on a number line. (Show all your work)

Answer 1

that's what it's graph looks like.

Explanation:

`|2w + 8| \geqslant 15`

`\implies \mathsf{2w + 8 \geqslant 15 \: }\\ \mathsf{or }\\ \mathsf{ \: 2w + 8 \leqslant - 15}`

(that's a property, if |x| >= a

=> x >= a or x <= -a)

`\implies \mathsf{2w \geqslant 15 - 8\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant - 15 - 8}`

`\implies \mathsf{2w \geqslant 7\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant -23}`

`\implies \mathsf{w \geqslant (7)/(2) \: }\\ \mathsf{or }\\ \mathsf{ \: w \leqslant ( - 23)/(2) }`