Question

The set of integer values of x satisfying

$\frac { \left( 2 ^ { \frac { \pi } { \tan ^ { - 1 } x } } - 4 \right) ( x - 4 ) ( x - 10 ) } { x ! - ( x - 1 ) ! }$< 0 is

• A. {2, 3}
• B. {5, 6, 7, 8, 9}
• C. f
• D. None of these

Answer 1

Answer: (B)

{5, 6, 7, 8, 9}

Answer 2

Q x! – (x –1)! ¹ 0 ̃ x Î I⁺ – {1}

$2^{\pi/\tan^{- 1}x} - 4 > 0$ as tan^–1 x <p/2

\$\frac{(x - 4)(x - 10)}{(x - 1)!(x - 1)}$< 0

\ x Î {5, 6, 7, 8, 9}