For a non-zero vector a, the set of real...

For a non-zero vector a, the set of real number, satisfying `|(5-x)a|lt|2a|` consists of all x such that

A

`0 lt x lt 3`

B

`3 lt x lt 7`

C

`-7 lt x lt -3`

D

`-7 lt x lt 3`

Verified by Experts

The correct Answer is:

B

We have, `|(5-x)a|lt|2a|`
`|5-x||a|lt2|a|`
`implies|5-x|lt2`
`implies-2 lt 5-x lt 2`
`implies 3 lt x lt `7

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