SOLUTION: Please help me prove this problem ASAP: Let A,B be sets. Show that A=B if and only if A is a subset of B and B is a subset of A. Thanks much!

Question 1074991: Please help me prove this problem ASAP:
Let A,B be sets. Show that A=B if and only if A is a subset of B and B is a subset of A.
Thanks much!
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.
If A = B (as the sets) then A is a subset in B and B is a subset in A.

If A is subset in B and B is a subset in A then A = B.

-------------
Your difficulties and problems originate from the fact you don't want to think.

RELATED QUESTIONS
Prove that for any sets A and B, if A is a subset of B, then Help!... (answered by maamarmath)

let A={a,e,i,o,u} and B={a,b,c,d}. Is A a subset of B? No. (Why?) Is B a subset of A? No. (answered by Fombitz)

Please help me to solve this problem. What is the proper subset of A and B? Then A is a... (answered by tommyt3rd)

- If A is a subset of B and B is a subsetof C, can you conclude that A is a subset of C? (answered by solver91311)

If A={4,7,10,13,17 and b={3,5,7,9}, then which of the following statements is false?... (answered by solver91311)

please I need your assistant again i really don't understands this please help. asap. (answered by stanbon)

If A is a subset equal B and B is a subset equal C, can you conclude that A is a subset... (answered by stanbon)

let X IS NOT EQUAL TO 0.let X approach to X be a bijective mapping, define F=(A... (answered by ikleyn)

SHOW THAT IF B IS A SUBSET OF A, THEN P(B)<=... (answered by jim_thompson5910)