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If (0.2)^((2x-3)/(x-2))gt 5 then complet...

If `(0.2)^((2x-3)/(x-2))gt 5` then complete solution set of values of x is

A

`(5//3, 2)`

B

`(3//5, 2)`

C

`(-oo, -(5)/(3))uu(2,oo)`

D

`((5)/(3),oo)`

Text Solution

Verified by Experts

The correct Answer is:
A
If `(0.2)^((2x-3)/(x-2))gt` then ………….
`(0.2)^((2x-3)/(x-2))gt 5`
`implies 5^(-(2x-3)/(x-2))gt 5^(1)`
`implies -(2x-3)/(x-2)gt 1`
`implies (3x-5)/(x-2)lt0`
`implies x in (5//3, 2)`
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