How do you graph the inequality 92x+y?

1 Answer
Nov 10, 2017

Solve for y and shade the side with points that make the inequality true.

Explanation:

First, solve for y as if you had the equality

92x+y

Solving for y gives

92x2x2x+y

92xy

We usually look at this with the y on the left hand side

y92x

The inequality symbol is , meaning greater than or equal to, so draw this as a solid line on your graph. You can find two values by plotting points.

graph{y=-9-2x [-10, 5, -15, 5]}

Finally, you can see that the point (0,0) is on the right side of the line and the point (5,0) is on the left side of the line.

To determine which side to shade, plug in these values and find which one makes the inequality true and which one makes the inequality false.

For (0,0), we get

y92x
092(0)
09 which is true. Zero is bigger (or equal to) 9

For (5,0), we get

y92x
092(5)
09+10
01 which is false. Zero is not bigger than 1.

Thus, we shade on the side containing the point (0,0)

graph{y>=-9-2x [-10, 5, -15, 5]}