Question

Are the following sets equal?
A = {x : x is a letter in the word reap}:
B = {x : x is a letter in the word paper};
C = {x : x is a letter in the word rope}.

Answer 1

A = {r, e, a, p}
B = {p, a, e, r}
C = {r, o, p, e}
Here, A = B because every element of A is a member of B & every element of B is a member of A.
But every element of C is not a member of A & B.
Also, every element of A and B is not a member of C.
Therefore, we can say that these sets are not equal.