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Question: Solution set of \(\frac{(x - 1)(x - 2)^{2}(x + 4)}{(x + 2)(x - 3)}\)≥ 0 is...

Solution set of (x−1)(x−2)2(x+4)(x+2)(x−3)\frac{(x - 1)(x - 2)^{2}(x + 4)}{(x + 2)(x - 3)}≥ 0 is

A

(–∞, –4] ∪ (–2, 1] ∪ {2} ∪ (3, ∞)

B

(–4, 2) ∪ [1, 2] ∪ (3, ∞)

C

(–∞,–4) ∪ {2} ∪ (3, ∞)

D

None of these

Answer

(–∞, –4] ∪ (–2, 1] ∪ {2} ∪ (3, ∞)

Explanation

Solution

x∈ (–∞, –4) ∪ [–2, 1] ∪ (3, ∞) ∪ {2}