Find the largest integral x which satisfies the following inequality:
$(x + 1) (x - 3)^{2} (x - 5) (x - 4)^{2} (x - 2) < 0$

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Solution

$(x + 1) {(x - 3)}^{2} (x - 5) {(x - 4)}^{2} (x - 2) < 0$
$x ϵ (- 1, 2)$

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