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Which of the following values of x does not satisfy 5x+1(x+1)2<1?

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a

x<0

b

x>3

c

x>2

d

R

answer is B.

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Detailed Solution

5x+1(x+1)2−1<0⇒ 5x+1−(x+1)2(x+1)2<0⇒ −x2+3x(x+1)2<0⇒ x(x−3)(x+1)2>0⇒ x<0 or x>3,x≠−1

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Which of the following values of x does not satisfy 5x+1(x+1)2<1?