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
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.