Question

Which of the following is a solution of y > |x| - 6?

Answer 1

-5,1

Explanation:

Answer 2

Shown in the second Figure below

Explanation:

This is an inequality we must solve. Recall that an inequality tells us that two values are different. To solve this inequality, we need to plot the line:

`y=\left | x \right |-6`

The graph is shown in the first Figure below. The solution can be found by testing a point, namely (0, 0), and verifying if this point meet the requirement of the inequality as follows:

`Point \ (0,0) \\ \\ y>\left | x \right |-6 \\ \\ 0>\left | 0 \right |-6 \\ \\0>-6 \ It's \ true!`

The solution is the part of the graph having black lines.