The coordinate grid shows points a through k. what point is a solution to the system of inequalities?
y > −2x + 10
y > x − 2
a.) e
b.) k
c.) b
d.) d

Option C.) B

Step-by-step explanation:

we have

y > -2x+10 -----> inequality A

The solution of the inequality A is the shaded area above the dashed line y=-2x+10

The slope of the dashed line is negative m=-2

The y-intercept of the dashed line is (0,10)

The x-intercept of the dashed line is (5,0)

y > (1/2)x-2 -----> inequality B

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

y= (1/2)x-2

The slope of the dashed line is positive m=1/2

The y-intercept of the dashed line is (0,-2)

The x-intercept of the dashed line is (4,0)

using a graphing tool

The solution of the system of inequalities is the shaded area

see the attached figure

Points B and I are solution to the system of inequalities