Question

Show that the set of letters needed to spell $CATARACT$ and the set of letters needed to spell $TRACT$ are equal.

Answer 1

Checking gives sets are equal or not.
Let $A$ be the set of letters in $CATARACT$
So, $A=\{C,A,T,R\}$
And let $B$ be the set of letters in $TRACT$
So, $B=\{T,R,A,C\}$
$\because$ Every element of $A$ are in $B$ and every element of $B$ are in $A.$
$\therefore A=B$