Question

Given the system of inequalities below: -3x - y < 12 2x + 3y ≥ 9 Give the coordinates of three points that are members of the solution set. () () () (-3, 7) (-3, -7) (3,-7) (-4,-0) (0,-4) (0,4) (2,3) (-2,3) (2,-3)

Answer 1

Answer:

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

Step-by-step explanation:

we have

$-3x-y< 12$ ----> inequality A

The solution of the inequality A is the shaded area above the dashed line

$2x+3y\geq 9$ ----> inequality B

The solution of the inequality B is the shaded area above the solid line

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Remember that,

If a ordered pair is a solution of the system of inequalities, then the ordered pair must be in the shaded area of the solution

Plot the points

(-3, 7), (-3, -7), (3,-7), (-4,-0), (0,-4), (0,4), (2,3), (-2,3), (2,-3)

therefore

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)