The number of integers satisfying `|2x-3|+|x+5| le |x-8|` is
The number of integers satisfying `|2x-3|+|x+5| le |x-8|` is
A. `5`
B. `6`
C. `7`
D. `8`
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Correct Answer - 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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