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Activity 6: New Elements in Me! Directions: Given the sets below, perform the indicated operation/s and determine the elements and cardinality of each result. A = (0, 1, 2, 3, 4) C = {1, 3, 5, 7, 9} a. 1. AUB 2. AUC 3. COB 4. B C 5. AUBUC Questions: B = {0, 2, 4, 6, 8} 6. A B C 7. (AB) UC 8. An (BUC) 9. AU (BOC) 10. (AUB) (AUC) Did you find any difficulty in getting the union and intersection of the sets? ets? ​

Sagot :

Syubbana2idn

1. A U B = {0, 1, 2, 3, 4, 6, 8}

2. A U C =  {0, 1, 2, 3, 4, 5, 7, 9}

3. B U C =  {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

4. B + C =  {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

5. A U B U C​ =  {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

6. A + B + C =  {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

7. (A + B) U C = {0, 1, 2, 3, 4, 6, 8} + {1, 3, 5, 7, 9}

8. A ∩ (B U C) = {0, 1, 2, 3, 4}

9. A U (B + C) = {0, 1, 2, 3, 4, 6, 8} + {1, 3, 5, 7, 9}

10. (A U B) + (A U C) = {0, 1, 2, 3, 4, 6, 8} + {1, 3, 5, 7, 9}

Step-by-step explanation:

Be discovered:

A = {0, 1, 2, 3, 4}

B = {0, 2, 4, 6, 8}

C = {1, 3, 5, 7, 9}

Question:

1. A U B

2. A U C

3. B U C

4. B + C

5. A U B U C​

6. A + B + C

7. (A + B) U C

8. A ∩ (B U C)

9. A U (B + C)

10. (A U B) + (A U C)

Asked:

1. A U B

= {0, 1, 2, 3, 4} + {0, 2, 4, 6, 8}

= {0, 1, 2, 3, 4, 6, 8}

2. A U C

=  {0, 1, 2, 3, 4} + {1, 3, 5, 7, 9}

=  {0, 1, 2, 3, 4, 5, 7, 9}

3. B U C

=  {0, 2, 4, 6, 8} + {1, 3, 5, 7, 9}

=  {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

4. B + C

=  {0, 2, 4, 6, 8} + {1, 3, 5, 7, 9}

=  {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

5. A U B U C​

=  {0, 1, 2, 3, 4} + {0, 2, 4, 6, 8} + {1, 3, 5, 7, 9}

=  {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

6. A + B + C

=  {0, 1, 2, 3, 4} + {0, 2, 4, 6, 8} + {1, 3, 5, 7, 9}

=  {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

7. (A + B) U C

= {0, 1, 2, 3, 4, 6, 8} + {1, 3, 5, 7, 9}

8. A ∩ (B U C)

= {0, 1, 2, 3, 4} ∩ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

= {0, 1, 2, 3, 4}

9. A U (B + C)

= {0, 1, 2, 3, 4} + {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

= {0, 1, 2, 3, 4, 6, 8} + {1, 3, 5, 7, 9}

10. (A U B) + (A U C)

= {0, 1, 2, 3, 4, 6, 8} + {0, 1, 2, 3, 4, 5, 7, 9}

= {0, 1, 2, 3, 4, 6, 8} + {1, 3, 5, 7, 9}

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