The set $A = \{ x:x \in R,\,{x^2} = 16$ and $2x = 6\} $ equals

Write the following sets in the set-builder form :

${\rm{\{ 2,4,8,16,32\} }}$

State whether each of the following set is finite or infinite :

The set of numbers which are multiple of $5$

Write the following sets in roster form :

$\mathrm{F} =$ The set of all letters in the word $\mathrm{BETTER}$

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 $x \in B$