Question

On a piece of paper, graph y + 4 ≤ x – 2. Then determine which answer choice matches the graph you drew.

Answer 1

D is the answer. Remember it is a solid line when greater equal.

Answer 2

Graph D is the correct representation of the given inequality.

Explanation:

We are given the following inequality:

`y + 4 \leq x - 2`

This inequality can be written as:

`y + 4 \leq x - 2\\y \leq x -2-4\\y \leq x - 6`

The attached image shows the graph for the given inequality.

Since, the point (4,-4) lies in the region of the given inequality shown by black color in the image.

Also, the line
`y = x - 6` is a part of the solution of the given inequality.

Hence, Graph D is the correct representation of the given inequality.