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The number of integers satisfying |2x-3|...

The number of integers satisfying `|2x-3|+|x+5| le |x-8|` is

A

`5`

B

`6`

C

`7`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` `|2x-3|+|x+5| le |x-8|`
`implies |2x-3|+|x+5| le |(2x-3)-(x-5)|`
`implies (2x-3)(x+5) le 0 implies -5 le x le 3//2`
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