We want to solve the given quadratic inequality.
The correct option is the second one, counting from the top.
So we need to solve:
x^2 - 4x - 21 ≤ 0
Because we have the graph, we can avoid all the algebra.
Notice that the equation must be equal to or smaller than zero, then we just need to find the values of x such that the graph intersects the x-axis or is below it.
By looking at the given graph, we can see that the given range goes from -3 to 7
Then the solution is:
-3 ≤ x ≤ 7
This would be represented with a number line going from -8 to 8, two closed circles (because we use the symbols ≤ ≥) at negative 3 and 7, and the region between the circles is shaded.
The correct option is the second one.
If you want to learn more, you can read:
https://brainly.com/question/11897796
