Show that the set is countableSolutionAnswer Countable sets

Show that the set

is countable.

Solution

Answer:

Countable sets are those in which we can make a one to one corresponce with the natural numbers so that no element is repeated.
Now at q
In every ordered pair p<=q. And for each ordered pair we can do mapping with natural number so its countable.

For your knowledge.
Real numbers and complex numbers are uncountable

While z,N,Q are countable.