Plugging in the values of (-4,2) into the two inequality statements to see whether it is part of the solution to the inequality system:
y ≥ -5x + 3
2 ≥ -5(-4) + 3
2 ≥ 20 + 3
2 ≥ 23 (false statement).
For the other inequality statement, substitute 2 for the y value:
y > -2
2 > -2 (true statement).
Since (-4,2) only satisfies one of the inequality statements, then it means that it is not a solution to the graph.
Therefore, the correct answer is FALSE.
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