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The number of intergal values of x if 5x...

The number of intergal values of x if `5x -1 lt (x+1)^2 lt 7 x-3 ` is

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
We have` (x+1)^2 lt 5x -1`
`rArr x^2-3x +2 lt 0 `
`rArr (x-1)(x-2)lt0 `
`rArr x lt 1 or x gt 2`
And `(x+1)^2 le 7x -3`
`x^2- 5x +4 lt 0 `
`rArr (x-1)(x-4) lt 0 `
`1 lt x lt 4 `
From (i) and (ii) common values are `x in (2,4)`
Therefore , there is only one integral value of x which is 3
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