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

Solution:

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

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.

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

Summary:

d. y < x + 1