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

For the A

The letters in word reap

A ={R, E, A, P} = {A, E, P, R}

For the B

The letters in word paper

B = {P, A, E, R} = {A, E, P, R}

For the C

The letters in word rope

C = {R, O, P, E} = {E, O, P, R}.

Set A = Set B

Because every element of set A is present in set B

But Set C is not equal to either of them because all elements are not present.