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AssignmentMultiple Choice

Solving Systems of Linear Inequalities

Question 3 • WV-Algebra I CR

Graphically, a point is a solution to a system of two inequalities if and only if the point

Answer
A
lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality.
B
lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality.
C
lies in the shaded regions of both the top and bottom inequalities.
D
does not lie in the shaded region of the top or bottom inequalities.

Explanation

A solution to a system must satisfy both inequalities at the same time. On a graph, that means the point lies in the shaded region for each inequality—their overlapping region. Therefore, the correct choice is “lies in the shaded regions of both the top and bottom inequalities.”

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