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Sets, Real Number System and Logic
If A , B and C be three nonempty sets given in such a way that AXB = AXC then prove that B = C .
For any sets A , B , C and D , prove that ( A X B ) intersection ( C X D ) = ( A intersection C ) X ( B intersection D ) .
For any sets A, B and C, prove thatA X (B Intersection C) = (A X B) Intersection ( A X C ).
Prove that : If A and B are any two non empty sets , prove that AXB = BXA <=> A = B.
Class Twelve
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