Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are countably infinite, exhibit a one-to-one correspondence between the set of positive integers and that set.
a) the negative integers
b) the even integers
c) the integers less than 100
d) the real numbers between 0 and
e) the positive integers less than 1,000,000,000
f) the integers that are multiples of 7
We have to check the following sets are finite, countably infinite, or uncountable.