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using the figure below find the elements found in the indicated sets aub

Sagot :

Answer:

Answers:

A U B = {1, 2, 3, 4, 5, 6, 7, 8, 10}

A ∩ C = {7, 8}

B U C = {1, 2, 5, 6, 7, 8, 9, 10, 11}

A ∩ B U C = {2, 5, 7, 8, 9, 11}

(A U B) ∩ C = {5, 7, 8}

Solutions:

1. A U B = Set A = {2, 3, 4, 7, 8} + Set B = {1, 2, 5, 6, 8, 10}

A U B = {1, 2, 3, 4, 5, 6, 7, 8, 10}

2. A ∩ C = Set A = {2, 3, 4, 7, 8} compared to Set C = {5, 7, 8, 9, 11}

Common Elements: {7, 8}

A ∩ C = {7, 8}

3. B U C = Set B = {1, 2, 3, 5, 6, 10} + Set C = {5, 7, 8, 9, 11}

B U C = {1, 2, 3, 5, 6, 7, 8, 9, 10, 11}

4. A ∩ B U C = Set A = {2, 3, 4, 7, 8} compared to Set B = {1, 2, 5, 6, 8, 10} + Set C = {5, 7, 8, 9, 11}

Common Elements of A and B = {2, 8,}

A ∩ B U C = {2, 8} + {5, 7, 8, 9, 11}

A ∩ B U C = {2, 5, 7, 8, 9, 11}

5. (A U B) ∩ C = Set A = {2, 3, 4, 7, 8} + Set B = {1, 2, 3, 5, 6, 10} compared to Set C = {5, 7, 8, 9, 11}

(A U B) ∩ C = {1, 2, 3, 4, 5, 6, 7, 8, 10} compared to {5, 7, 8, 9, 11}

Common Elements are 5, 7, and 8

(A U B) ∩ C = {5, 7, 8}

Step-by-step explanation:

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