Question

for each graphed system of inequalities circle the points that are solutions.
1 a. (0,0)
b. (0, - 1)
c. (-3,0)
d. (-3,3)
e. (-4, - 3)
f. (-8,1)

1. a. (0,4)

b. (2, - 2)
c. (-2,1)
d. (-4,3)
e. (-3,5)
f. (-5,10)

Explanation:

Step1: Check points in first graph

Visually inspect if points lie in shaded region.

Step2: Analyze point A (0,0) in first graph

Not in shaded region, so not a solution.

Step3: Analyze point B (0, - 1) in first graph

Not in shaded region, so not a solution.

Step4: Analyze point C (-3,0) in first graph

In shaded region, so is a solution.

Step5: Analyze point D (-3,3) in first graph

In shaded region, so is a solution.

Step6: Analyze point E (-4,-3) in first graph

In shaded region, so is a solution.

Step7: Analyze point F (-8,1) in first graph

In shaded region, so is a solution.

Step8: Check points in second graph

Visually inspect if points lie in shaded region.

Step9: Analyze point A (0,4) in second graph

Not in shaded region, so not a solution.

Step10: Analyze point B (2,-2) in second graph

Not in shaded region, so not a solution.

Step11: Analyze point C (-2,1) in second graph

In shaded region, so is a solution.

Step12: Analyze point D (-4,3) in second graph

In shaded region, so is a solution.

Step13: Analyze point E (-3,5) in second graph

In shaded region, so is a solution.

Step14: Analyze point F (-5,10) in second graph

In shaded region, so is a solution.

Answer:

1. C. (-3,0), D. (-3,3), E. (-4,-3), F. (-8,1)
2. C. (-2,1), D. (-4,3), E. (-3,5), F. (-5,10)