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If x is an integar and satisfies 9 lt 4x...

If x is an integar and satisfies `9 lt 4x-1 le19` , then x is an element of the which one of the following sets?

A

`{3,4}`

B

`{2,3,4}`

C

` {3,4,5}`

D

` {2,3,4,5}`

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `9 lt 4x - 1 le 19`
` rArr p lt 4x - 1 and 4x - 1 le 19`
` rArr 9+1 lt 4x and 4x le 19 + 1 `
` rArr 9+1 lt 4x and 4x le 19+1 `
`rArr x gt 5/2 and x le 5 `
` :. x in { 3, 4, 5 } `
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