Answer:
16 subsets
Step-by-step explanation:
Set [tex]\displaystyle \{x/x\in \mathbb{W},0\leq x<4\}[/tex] reads as [tex]x[/tex] is a whole number greater or equal to zero but less than 4.
Therefore, the only values of [tex]x[/tex] that satisfy this are [tex]\{0, 1, 2, 3\}[/tex], a set with four elements. For a set of [tex]n[/tex] elements, there exist [tex]2^n[/tex] subsets. Therefore, there are [tex]2^4=\boxed{16}[/tex] subsets of [tex]\displaystyle \{x/x\in \mathbb{W},0\leq x<4\}[/tex]
