Question

State whether each of the following statement is true or false for the sets A, B and C where
A = {x | x $\in$ N, x<40 and x is a multiple of $6$}
B = {x | x $\in$ N, x<40 and x is a multiple of $8$}
C = {x | x is a factor of $28$}
B$\leftrightarrow$C

Answer 1

If we write $A,B$ and $C$ in tabular form,

we get
$A=\{6,12,18,24,30,36\}$,
$B=\{0,8,16,24,32\}$
and $C=\{1,2,4,7,14,28\}$
$B\leftrightarrow C$ False, because $n\left(B\right)\ne n\left(C\right)$