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

$$5x+1(x+1)2$$−$$1$$ $$0$$⇒ x $$3$$,x≠−$$1$$

Questions

Which of the following values of x does not satisfy $\frac{5 x + 1}{(x + 1)^{2}} < 1 ?$

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x<0

x>3

x>2

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detailed solution

Correct option is B

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?

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Which of the following values of x does not satisfy $\frac{5 x + 1}{(x + 1)^{2}} < 1 ?$