The solution set of ^5 C_ x-1 >2 ( ^5 C_x ) is

Step-by-step solution

^5 C_ x-1 >2 ^5 C_x Inequality defines, when x-1>0 ; x-1 and x are positive integers aligned & x>0 & x-1 2 ^5 C_x array cc & ^5 C_ x-1 ^5 C_x >2 & . 5 ! (5-x+1) !(x-1) ! (5-x) ! x ! >2 ^ n ! C_r= n ! (n-r) ! r ! & (5-x) ! x(x-1) (5-x+1)(5-x) !(x-1) ! >2 & x 5-x+1 >2 & x-12+2 x 6-x >0 & 3 x-12 6-x >0 3(x-4) x-6 x I⁺ x=5 is only one possible value. Solution set = 5