Question

Which pointis not part of the solution of the inequality y ≥ -|x-4|-3

1. (4,-4)
2. (-1,1)
3.(-3,2)
4. (0,0)

Answer 1

(4,-4)

Explanation:

To find the point which is not a solution, identify the point which is not in the set of solutions. This will be a point which is not in the shaded section of its graph. Graph the inequality by shifting the parent function down 3 units and to the left 4 units. Then flip the graph because of the negative out front. See the attached graph. All the points lie in the shaded except for (4,-4).