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)