Question

For each set, given below, state whether it is finite set, infinite set or the null set:

$B=\{x:x\in W;\text{x is less than 100}\}$

Answer 1

Step: Check whether the given set is finite set, infinite set or the null set

Given: $B=\{x:x\in W;\text{x is less than 100}\}$

Since whole numbers less than $100=0,1,2,3,4,5,6,\dots \dots ,99$.

Since whole numbers less than 100 are countable.

And we know that a set is said to be finite set, if it has a countable number of elements in it.

Hence, the given set is finite set.