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The number of integral values of x for w...

The number of integral values of `x` for which `((pi/(2tan^(-1)x)-4)(x-4)(x-10))/(x !-(x-1)!)<0i s______`

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The correct Answer is:
5
`x!-(x-1)! ne 0 or x in I^(+)-{1}`
`2^((pi)/(tan^(-1)x))gt4 " as "tan^(-1)x lt (pi)/(2)`
`or ((x-4)(x-10))/((x-1)!(x-1)) lt 0`
or ` x in {5,6, ..., 9}`
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