Question

1. which ordered pair is not a solution to the system of linear inequalities shown on this graph? (2, 0) (4, -1) (1, 0) (2, -2)

Explanation:

Step1: Recall solution region

A solution to a system of linear inequalities is a point in the shaded region (or on the boundary if included). We check each ordered pair against the shaded area.

Step2: Check (2, 0)

Plot (2, 0). It lies in the shaded region (since x=2, y=0 is within the overlapping shaded parts from the two inequalities).

Step3: Check (4, -1)

Plot (4, -1). It is in the shaded region (y=-1 is above the lower boundary and x=4 is right of the left boundary).

Step4: Check (1, 0)

Plot (1, 0). It is in the shaded region (within the overlapping shaded area).

Step5: Check (2, -2)

Plot (2, -2). The lower boundary of the shaded region (from the horizontal or slant line) – (2, -2) is below the lower shaded boundary (the horizontal line or the slant line's lower part). So it is NOT in the shaded region.

Answer:

(2, -2)