The graphs of the line [math: y=9] and the curve [math: y=x2+2x+1x−1]y=\dfrac{x^2+2x+1}{x-1} intersect at the points [math: (2,9)](2, 9) and [math: (5,9)](5, 9) , as shown in the diagram below. State the solution to the inequality [math: x2+2x+1x−1≤9]\dfrac{x^2+2x+1}{x-1}\leq 9 .Single choice

Question Image
A

[math: 2≤x≤5]2 \leq x \leq 5

B

[math: 1<x≤2 or x≥5]1\lt x \leq 2 \text{ or } x\geq 5

C

[math: x<1]x \lt 1

D

[math: x<1 or 2≤x≤5]x\lt 1 \text{ or } 2 \leq x\leq 5

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