Question

Tatiana is reviewing for the Algebra 1 final exam. She
made this graph representing a system of inequalities:


Circle the ordered pairs below that represent solutions
to the system of inequalities.
(-8, 3) (-3,8) (-1,9) (-4,9) (9, 6) (0,9)
(5,5) (-5, 10) (-9, 1) (-2,7) (1, 6) (0, 0)

Answer 1

Answer:

(-3, 8)

(-1, 9)

(-4, 9)

(0, 9)

(-2, 7)

Step-by-step explanation:

The solutions to a graphed system of inequalities are represented by the points within the overlapping shaded region (where the shaded areas of the individual inequalities overlap).

Points on a solid boundary line are part of the solution, whereas points on a dashed boundary line are not included in the solution set. As one of the boundary lines of the inequality is solid, this means that the points on the part of the  solid boundary line that encloses the overlapping shaded region are also included in the solution set.

Therefore, the ordered pairs that represent the solutions to the graphed system of inequalities are:

• (-3, 8)
• (-1, 9)
• (-4, 9)
• (0, 9)
• (-2, 7)

Note that while the point (-5, 10) lies on the section of a boundary line that encloses the overlapping shaded region, it is not included in the solution set because that part of the boundary line is dashed.

Attachment: The points included in the solution set are shown in red, and the points that are not included in the solution set are shown in blue.