Question

How do you graph the linear inequality `y>=-x-3`?

Answer 1

Refer to the explanation.

Explanation:

Graph:

`y>=-x-3`

Determine a few points on the line. (Only two are necessary.)

`x=-2,` `y=-1` `color(white)(..)` `"Point:"` `(-2,-1)`

`x=0,` `y=-3` `color(white)(..)` `"Point:"` `(0,-3)`

`x=2,` `y=-5` `color(white)(..)` `"Point:"` `(2,-5)`

Plot the points and draw a solid, straight line through them to represent the equality. Then shade in the area above the line to represent the inequality.

graph{y>=-x-3 [-15.22, 16.81, -10.12, 5.9]}