The number line that shows the solution to the inequality is (c)
Which number line shows the solution to the inequality
From the question, we have the following parameters that can be used in our computation:
w² + 13w - 1 ≥ -31
So, we have
w² + 13w + 30 ≥ 0
When expanded, we have
w² + 10w + 3w + 30 ≥ 0
So, we have
(w + 10)(w + 3) ≥ 0
Expand
w + 10 ≥ 0 and w + 3) ≥ 0
Evaluate
w ≥ -10 and w ≥ -3
This gives
-10 ≤ w ≤ -3
The number line that represents this is (c)