Question

If $A$=Set of letters in the word LISTEN and $B$=Set of letters in the word SILENT, then $A$ and $B$ are sets.

• A. equal
• B. infinite
• C. disjoint

Answer 1

The correct option is A equal

Given that $A$=Set of letters in the word LISTEN and $B$=Set of letters in the word SILENT.
Note that L,I,S,T,E and N are letters common to both these words.
Thus,{L,I,S,T,E,N}={S,I,L,E,N,T}i.e.,the sets are equal as every element of $A$ is an element of $B$ and every element of $B$ is an element of $A$.