Question

If X= { x/ x ∈ W, 0 ≤ x < 4}. Write the number of possible subsets.

Answer 1

16 subsets

Explanation:

Set
`\displaystyle \{x/x\in \mathbb{W},0\leq x<4\}` reads as
`x` is a whole number greater or equal to zero but less than 4.

Therefore, the only values of
`x` that satisfy this are
`\{0, 1, 2, 3\}`, a set with four elements. For a set of
`n` elements, there exist
`2^n` subsets. Therefore, there are
`2^4=\boxed{16}` subsets of
`\displaystyle \{x/x\in \mathbb{W},0\leq x<4\}`