Which of the following points is in the solution region to the inequality: 2x + 3y ≤ -5 (-2, -2) (-2, 2) (2, 2) (2, -2)

Answer 1

Hi Bvew D

Since you have a less than or equal to situation, using the equal to option you can set up y in terms of x by solving for y as follows:

2x + 3y = -5

3y = -2x - 5

y = (-2/3)x - 5/3

You can test the choices given to make sure one of them satisfies both criteria less than or equal to. You can also graph your line as given at Desmos.com to see and confirm that the point lies within the range displayed on the graph.