Answer
Total number of proper subsets are 31
Work Step by Step
{X|X ∈ N and 2≤X≤6}
= {2,3,4,5,6}
A set of n elements have 2^{n} number of subsets.
Here set has 5 elements. So total number of subsets are 2^{5}=32
As these 8 subsets also include the one subset which is the set itself. We need to exclude this one subset.
Thus Total number of proper subsets are = 32 - 1 = 31