(A ∩ B) ∪ (A ∩ C)
Solution
Sure, here is the step by step solution for the given expression "(A ∩ B) ∪ (A ∩ C)":
Step 1: Understand the symbols The symbols used in the expression are from set theory. "∩" represents intersection (elements common to both sets) and "∪" represents union (all elements in both sets).
Step 2: Break down the expression The expression can be broken down into two parts: (A ∩ B) and (A ∩ C).
Step 3: Solve for (A ∩ B) This represents the intersection of sets A and B, i.e., all elements that are common to both A and B.
Step 4: Solve for (A ∩ C) This represents the intersection of sets A and C, i.e., all elements that are common to both A and C.
Step 5: Union of the two intersections Finally, "(A ∩ B) ∪ (A ∩ C)" represents the union of the results from step 3 and step 4. This means it includes all elements that are in either (A ∩ B) or in (A ∩ C) or in both.
Please note that without specific sets for A, B, and C, this is as far as we can go in solving the expression.
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