Final answer:
Point B (2,4) is the correct answer as it satisfies both conditions of the system of inequalities where Y must be greater than X and also greater than or equal to -2.
Step-by-step explanation:
The student is asking to determine which point satisfies both conditions in the system of inequalities. The first inequality is Y > X, which means the Y-coordinate of the point must be greater than the X-coordinate. The second inequality Y ≥ -2 indicates the Y-coordinate must also be greater than or equal to -2.
- Point A (0,0) satisfies both conditions since 0 > 0 is false and 0 ≥ -2 is true.
- Point B (2,4) satisfies both conditions since 4 > 2 is true and 4 ≥ -2 is true.
- Point C (-2,6) satisfies both conditions since 6 > -2 is true and 6 ≥ -2 is true.
- Point D (-2,-2) does not satisfy the first condition since -2 > -2 is false but satisfies the second condition since -2 ≥ -2 is true.
Therefore, the correct answer is Point B (2,4), as it meets both conditions of the system of inequalities.
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