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Let A = {6, 10} ; B = {4} and C = {10, 4}. Find (A ⋃ B) ⋂ C

Question

Let A = {6, 10} ; B = {4} and C = {10, 4}. Find (A ⋃ B) ⋂ C

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Solution

Sure, let's solve this step by step:

Step 1: Find (A ⋃ B) The union of sets A and B, denoted by A ⋃ B, is the set of elements which are in A, in B, or in both A and B. So, A ⋃ B = {6, 10} ⋃ {4} = {4, 6, 10}

Step 2: Find (A ⋃ B) ⋂ C The intersection of sets (A ⋃ B) and C, denoted by (A ⋃ B) ⋂ C, is the set of elements which are in both (A ⋃ B) and C. So, (A ⋃ B) ⋂ C = {4, 6, 10} ⋂ {10, 4} = {4, 10}

So, (A ⋃ B) ⋂ C = {4, 10}.

This problem has been solved

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