Are the following sets equal?

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}.

Solution:

A = {r, e, a, p}

= {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 and B is not a member of C.

Therefore, we can say that these sets are not equal.

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