Question

Determine if w = -2 is a solution for the inequality 3w ≤ -12

Answer 1

Answer:   It is not a solution

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Explanation:

Plug in w = -2 and simplify.

3w ≤ -12

3(-2) ≤ -12

-6 ≤ -12

The last inequality is false because -6 is neither equal to -12, nor is -6 smaller than -12. Use a vertical number line to see that -6 is above -12, so it should be -12 ≤ -6.

Since -6 ≤ -12 is false, that makes 3w ≤ -12 false when w = -2.

Therefore, w = -2 is not a solution to the given inequality.