The number of integer x satisfying sin^(...

The number of integer `x` satisfying `sin^(-1) |x -2| + cos^(-1) (1 -|3 -x|) = (pi)/(2)` is

Verified by Experts

`sin^(-1)|x-2|+cos^(-1)(1-|3-x|)=pi/2`
`alpha=beta`
`|x-2|=1-|3-x|`
`|x-2|+|3-x|=1|(x-2)+(3-x)|`
`(x-2)(3-x)>=0`
`2<=x<=3`
Option B is correct.

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