Question

Identify point in region of inequalities:Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities.y < -2/3x + 2 y < 1/2 x - 3

Answer 1

we have

y < -2/3x + 2 ------> inequality A

y < 1/2 x - 3 ------> inequality B

we have that

The solution of the inequality A is the shaded area below the dashed line y=-2/3x+2

The solution of the inequality B is the shaded area below the dashed line y=1/2x-3

so the solution for the system of inequalities, is the shaded area below the two dashed lines

see the attached figure to better understand the problem

please wait a minute

therefore

the point (-3,-10) satisfy both inequalities