(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let A,B,C be sets where A n C = B n C and A n C^{c}= B n C^{c}. Then A=B.

2. Relevant equations

3. The attempt at a solution

To prove two sets equal, i think we want to let x be in A, and then show as a result that x in B also. However, i don't see how this is possible given our hypothesis. x in A does not mean x in A n C. Also, x in A does not mean x in A n C^{c}. Thoughts, suggestions, hints? Very much appreciated!

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Set theory dilemma

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