Question

10. Pick the points that make the systems of equations true.

Select all that apply (more than one point is possible).
a) (2, 2)
b) (0,4)
c) (6, 1)
d) (1,6)
e) (-2,8)

Answer 1

a) (2,2)

c) (6,1)

Explanation:

we know that

The solution of the system of inequalities show in the graph is the shaded area

If a ordered pair is solution of the system of inequalities , then the ordered pair must lie on the shaded area

Plot the points and verify if lie on the shaded area

a) (2,2)

The ordered pair lie on the shaded area

therefore

The point make the system of equations true

b) (0,4)

The ordered pair not lie on the shaded area

therefore

The point not make the system of equations true

c) (6,1)

The ordered pair lie on the shaded area

therefore

The point make the system of equations true

d) (1,6)

The ordered pair not lie on the shaded area

therefore

The point not make the system of equations true

e) (-2,8)

The ordered pair not lie on the shaded area

therefore

The point not make the system of equations true

see the attached figure to better understand the problem