Answer
Sometimes true
Work Step by Step
The only possible x-values are x=0,1,2,3 and each of these satisfies the inequality except x=3:
$_{3}$C$_{0}$ $\gt$0 -->1 $\gt$0 -This satisfies the inequality-
$_{3}$C$_{1}$ $\gt$1 -->3 $\gt$1 -this satisfies the inequality-
$_{3}$C$_{2}$ $\gt$2-->3 $\gt$2 -this satisfies the inequality-
$_{3}$C$_{3}$ $\gt$3 -->1 $\gt$3 -this does not satisfy the inequality-
Since only some x-values satisfy the inequality it is sometimes true.