Show That the Sets of Letters in “CATARACT” and “TRACT” are Equal
Show that the set of letters needed to spell “CATARACT” and the set of letters needed to spell “TRACT” are equal.
Solution
The set of letters in the word “CATARACT” is
\[ A=\{C,A,T,R\} \]
The set of letters in the word “TRACT” is
\[ B=\{T,R,A,C\} \]
Both sets contain the same elements.
Therefore,
\[ \boxed{A=B} \]