Questions: Which ordered pair is a solution to the system of inequalities graphed here?
A. (4,-2)
B. (2,2)
C. (-2,-2)
D. (-6,2)
Transcript text: Which ordered pair is a solution to the system of inequalities graphed here?
A. $(4,-2)$
B. $(2,2)$
C. $(-2,-2)$
D. $(-6,2)$
Solution
Solution Steps
Step 1: Analyze the graph
The graph shows two inequalities represented by dashed lines and a shaded region. The shaded region represents the solution to the system of inequalities.
Step 2: Check each option
A. (4, -2): This point lies in the shaded region, so it is a solution.
B. (2, 2): This point lies outside the shaded region, so it is not a solution.
C. (-2, -2): This point lies outside the shaded region, so it is not a solution.
D. (-6, 2): This point lies outside the shaded region, so it is not a solution.