Which of the following sets are finite or infinite.
$\{1,2,3, \ldots 99,100\}$
Which of the following are examples of the null set
$\{ y:y$ is a point common to any two parallellines $\} $
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $x \in A$ and $A \in B,$ then $x \in B$
Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.
The number of elements in the set $\{ (a,\,b):2{a^2} + 3{b^2} = 35,\;a,\,b \in Z\} $, where $Z$ is the set of all integers, is