Question

If U = {1,2,3,4,5,6,7,8,9,10}, A={1,2,3,5}, B={2,4,6,7},C={2,3,4,8}; find

1. A compliment

2. B compliment

3.C Compliment

4. (A−B)compliment

5. (AC)Compliment

6. (C−A)compliment

7. (B∪C)Compliment

8. Verify (A∪B)C = AC ∩ BC and (A ∩ B )C = AC ∪ BC

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Answer 1

ABC and DEF, AB = DE and A = D. Name one pair of side that should be equal so that the two triangles will be congruent

Answer 2

Step-by-step explanation:

1.A compliment = {4,6,7,8,9,10 }

2.B compliment = { 1,3,5,7,8,9,10 }

3.C compliment= {1,5,6,7,9,10}

4.(A-B) ={1,3,5}

therefore,

(A-B) compliment = {2,4,6,7,8,9,10}

5.(A-C) = {1,5}

therefore

(A-C) compliment = {2,3,4,6,7,8,9,10}

6.(C-A) = {4,8}

therefore

(C-A) compliment= {1,2,3,5,6,7,9,10}

sorry i forgot how to verify the last one