Showing that (9, 1) is a solution of which inequality would justify shading inside the graph of the curve.

Substitute x = 9 and y = 1 into choice D: 64(9 − 8)² + 12(1)² = 64 + 12 = 76. Since 76 < 144, (9, 1) satisfies the inequality 64(x − 8)² + 12y² < 144, so choice D justifies shading inside the curve.

AI-written and checked against the verified answer.