Question

Which of the following is a solution of y> |x|-6?
(-1,-5)
(-5, 1)
(5,-1)

Answer 1

Let’s graph the function using an online graphing calculator to determine which ordered pair is a solution. The graph will be attached below. From this graph, we can see that the pair (-5, 1) is a solution to the limiter function (the function that acts as a barrier for the inequality). Let’s see why:

y=|-5|-6

y=5-6

y=-1

So, (-5, -1) is a function to the limiter function. This function shows where the boundaries is for the inequality.

Since y must be greater than -1, the solution pair (-5, 1) would satisfy the inequality.

This leaves the answer as: (-5, 1)