Problem on non-empty sets and subsets


Assignment:

Let X and Y be non-empty sets. If A1  and A2 are subsets of X , and B1 and B2 subsets of Y.

Show that  (A1 x B1)∩(A2 x B2) = (A1∩A2) x (B1∩B2).

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Problem on non-empty sets and subsets
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