Which ordered pair is a solution of 9(x – 2)2 – 4(y + 5)2 ≥ 36?

Substitute the coordinates of choice C, (−7.5, −5), into the inequality. Then x − 2 = −9.5 and y + 5 = 0, so 9(−9.5)² − 4(0)² = 812.25, which is greater than or equal to 36. Therefore, (−7.5, −5) is a solution.

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