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Question: The values of x for which \(\frac{x^{2}–4x + 3}{x^{2} + x + 1}\)\< 0 is :...

The values of x for which x24x+3x2+x+1\frac{x^{2}–4x + 3}{x^{2} + x + 1}< 0 is :

A

x Ī(– , 1)Č(3, )

B

x Ī(1, 3)

C

x > 3

D

x < 1

Answer

x Ī(1, 3)

Explanation

Solution

(x3)(x1)x2+x+1\frac{(x–3)(x–1)}{x^{2} + x + 1} < 0

x2 + x + 1 > 0 " x Ī R

x Ī (1, 3)