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!

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> 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!      Log On


   

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) About Me  (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.


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