# Which linear inequality is graphed with y > –x – 2 to create the given solution set?

# a. y > x + 1

b. y < x – 1

c. y > x – 1

d. y < x + 1

The mathematical expressions in which both sides are not equal are called inequalities.

## Answer: d. y < x + 1

Let's solve.

**Explanation:**

For the equation y = - x - 2, one of the lines has a y-intercept of -2 and a slope of -1. y > -x -2 is an inequality in the shaded area.

From the graph, we can see that the other equation has a slope of 1 and a y-intercept of 1.

As a result, the equation of a line is y = x + 1.

Above the line is the shaded area. The inequality y < x + 1 represents the standard inequality region.

### Thus, the linear inequality is y < x + 1.

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