Which of the following sets are equal? A={a,b,c,d} B={d,e,a,c} C={d,b,a,c} D={a,a,d,e,c}

Brittney Lord

Brittney Lord

Answered question

2020-12-15

Which of the following sets are equal?
A={a,b,c,d} B={d,e,a,c}
C={d,b,a,c} D={a,a,d,e,c}

Answer & Explanation

Roosevelt Houghton

Roosevelt Houghton

Skilled2020-12-16Added 106 answers

Since e is in B and it is not in A, we have that A=/B. Since the order of elements of a set does not matter, we have that C={d,b,a,c}={a,b,c,d}=A
Also, since C=A and A=/B, we conclude that C=/B. Since we can remove the "duplicates" in a set, we conclude that D={a,a,d,e,c,e}={a,d,e,c}
Furthermore, since the order does not matter. D={a,d,e,c}={d,e,a,c}=B
Finally, since D=B and B=/A and B=/C, we conclude that D=/A and D=/C.
So, the final answer is A=C and B=D

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?