7. Which of the following are true for all sets A, B, and C? (a) If A C B and BCC, then ACC. (b) If A B and B‡ C, then A‡ C. (c) If A E B and BC, then A & C.

Q: If A and B are any two sets, then A ∩ (A ∪ B) is equal to a. A b. B' c. A' d. B​

A: It is given that A and B are any two sets. It is required to obtain the value of A∩A∪B.

Q: - For all sets A, B and C. Is (An B) U C =An (Bu C)? Justify your statement. You may ju

A: Yes, the above statement is false and the proof of above statement is given below:

Q: For any sets A and B , (ANB) = %3D O a. ANB O b. ANB Oc. B-A С. В- А O d. U-B

A: By using identities of set theory :

Q: Draw Venn diagram for each the following: (i) AUB when A C B. (ii) AUB when A and B are disjoint…

A: Q 8  Draw Venn diagram in following cases

Q: 1. Let A = {2, {2},{{2}}}, B = {2, {2}, {2, {2}}}. Is A C B? Is BC A? Is either A or B a proner…

A:

Q: For two sets A and B, if A=B, then (i) A and B have the same elements (ii) ACB and BCA (iii) x €…

A: Here we have to find the properties of two sets A and B is A= B.

Q: 4. For every given pairs of sets A and B below, determine whether A = B, or AC B, or BC A, or none…

A: As you post multiple question according to guideline I only have the first three please post the…

Q: prove the following statement. let a,b, and c  be three counting numbers. then, gcd(ac,bc)=c…

A: To prove the statement gcd(ac,bc)=c gcd(a,b), use the following two properties of the greatest…

Q: 3. AnBCC. Prove the following statement: For all sets A, B, and C, if BCC, then

A:

Q: 1. Let A, B, and C be sets. Given A C B, show that (a) AnC C BnC. (b) ВС А.

A:

Q: Which of the following statements are true for all sets A, B, and C?

A:

Q: Which of the sets given below correspond to the following Venn Diagram? Select all that apply. A с…

A: Anwer  (a) is correct (b) is incorrect (c) is incorrect  (d) is correct (e) is correct (f) is…

Q: 8. Shade the sets с (with B B (Anc)n B and (ANC)UB.

A:

Q: Find (if possible) a. AB and b. BA, if A = = [4 4567] and B = 3 A 1.0 5 6

A: Given  A = 4567  and  B = 3456.

Q: Let A = (1, 2,3,4, 5) and B = (0, 3, 6). Match the given sets on the left to the sets on the right.…

A:

Q: If A's 1, 2, 3, 4, 5, B's' 1, 3, 4, 6', C's', '1', '6', '7'. Determines the elements of the…

A:

Q: Can you conclude that A = B if A,B, and C are sets such that A U C = BUC and An C=Bn C?

A: See below.Explanation:No, you cannot conclude that A = B based solely on the given conditions. For…

Q: Let A, B, C, and D be sets. Prove that (a) if CCA and DCB, then COD CANB.

A:

Q: 2. Prove or disprove each of the following statements, for any three sets A, B, and C: a. (ANC) -…

A:

Q: Which of these sets are equal? O An (B U C) = (A n B) U (A n C) An (B U C) = (A n B) U c O An (B U…

A:

Q: If |A|  8 and |B|  5, what is |A ∪ B| + |A ∩ B| ?

A:

Q: If A= {1,2,3,4,5,6,7,8}    B= {1,2,3,4,5}    C= {7,8,9,10}    U= {1,2,3,4,5,6,7,8,9,10} What is the…

A: Introduction: The quantity of items in a mathematical set is known as a set's cardinality. It may be…