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}.

Question

Philoid · Accepted Answer

For A

Letters in word reap

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

For B

Letters in word paper

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

For C

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.