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 integers greater than 10

b) the odd negative integers

c) the integers with absolute value less than 1.000.000

d) the real numbers between 0 and 2

e) the set A × Z+ where A = {2. 3}

f) the integers that arc multiples of 10

Step 1 </p>

We have to determine ,each of the following sets is finite , countably infinite or uncountable .

Step 2 </p>

Definition

A countable set is, a set with the same number of elements as some subsets of N (N-set of natural numbers )

A countable set is either finite or countably infinite.

A set is countably infinite ,if it has one to one correspondence with N .