Q:

Which is the graph of the linear inequality y ≥ −x − 3?

Accepted Solution

A:
Answer:Please check attached graph.Step-by-step explanation:Graph for the answer choices are missing but still we can solve this problem.We can create graph of y=-x-3 firstthen shade the graph for given inequality.Comparing y=-x-3 with y=mx+b gives slope m=-1 and y-intercept b=-3so we graph a point at (0,-3) for y-intercept.then move the point 1 unit down and 1 unit right to reach point (1,-4)Now join both points by a solid line because of equal sign of >= this will give graph of y=-x-3Now we determine direction of shading using any test point which is not on the line y=-x-3say (0,0) is test point as it is not on the line y=-x-3plug the test point into original inequality
[tex]y\ge-x-3[/tex][tex]0\ge-0-3[/tex][tex]0\ge-3[/tex]which is true so the direction of shading will be in the direction of test point.