If A and B are any two sets and AUB = . A n B, then

Q: Let 4, B, and C be sets. Show that а) (А — В) — С СA-C. b) (A — C) n (С- В) — 0.

A: It can be solved by the set theory

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: Let 4, B, and C be sets. Show that a) (A - B) – CSA C. b) (A - C) n (C- B) = 0.

A: Answer

Q: If R is the universal set, find: 1. Q ∩ R 2. Z ∩ I 3. N ∩ I

A: Since R is universal set.

Q: Suppose A and B are sets. Au B = B if and only if As B. True False

A: Given statement is A and B are two sets. A∪B=B if and only if A⊆B. We know that if A⊆B and B⊆A then…

Q: IF A and B are sets then A-BC A UB

A:

Q: For all sets A B and c, of CAXC)- CBrC)# Ø, then A-B#¢.

A:

Q: Let A = {2. 3. 5}, B = {4. 5. 6. 7}, and C = (1. 2. 3. 4. 5} be sets. Show that a) (A ∪ B) ⊆ (A…

A:

Q: If A, B,C, and D are sets, does it follow that (A ⊕ B) ⊕ (C ⊕ D) = (A ⊕ C) ⊕ (B ⊕ D)?

A: The symmetric difference between the set is associative and commutative. So, (A⊕B) ⊕C=A⊕(B⊕C)…

Q: When A, B, and C are sets, A∩(B⋃C) = (A∩B)⋃C if and only if     A ∩ C ⊆ A ∩ B     C ⊆ A     A…

A: According to the given information it is required to tell that when the below statement holds.

Q: If A and B are mutually exclusive, and if P(A) = 0.4 and P(B) = 0.2, what is P(AUB)? P(AUB)= ***

A: Given data,P(A)=0.4P(B)=0.2P(A∪B)=?

Q: 29. Given A and B are sets, (AUB) = A° B° .

A:

Q: If A and B are sets such that A C B then A × BC B × B. O true false

A: True.

Q: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

A: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

Q: If A and B are sets; A and B denote the complements of the sets A and B, then set (A- B)U(B –…

A: Using venn diagram we solve this question.

Q: What is the size of the union of the sets A and B, if |A|=|B|=12 and |ATT B|=10?

A: The sets A and B,A=B=12 and A∩B=10

Q: Suppose A and B are two sets such that ANB = Ø. Which of the following statements is/are true? (i)…

A:

Q: if A and B are sets, then A x B=B x A

A:

Q: Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False.

A: Use the basic properties of intersection and cartesian product to prove the given relation.

Q: Draw figures showing two sets A and B, so that B C A. DO NOT draw the set elements.

A: As we know the meaning of B ⊆ A is that B has few or all elements equal to the set A B ⊆ A subset…

Q: If A and B are sets; Ac and Bc denote the complements of the sets A and B, then set  (A - B) U (B -…

A: (A—B) refers to the set contains all the elements in set A but not in set B (B—A) refers to the set…

Q: If A and B are sets, then A n (B – A) = Ø. %3D

A:

Q: For any two sets A and B, if m* (A) = 0, then m* (AUB) = m* (B). In particular, if BCA, then m* (B)…

A:

Q: If A, B, and C are sets such that A ∩ B ≠ Ø and B ∩ C ≠ Ø, then A ∩ C ≠ Ø

A:

Q: Find an example of sets A and B such that |A|=3,|A|=3, |B|=4,|B|=4, and |A∪B|=5.

A: Let A = {2, 3, 4} and |A|= 3 and B = {2, 4, 6, 8} and |B|= 4 The union of set A and B is the set of…

Q: or any of the sets id, bic it a,bsCthen a b anteo

A:

Q: If A and B are sets; A° and B denote the complements of the sets A and B, then set (A- B)U(B –…

A:

Q: If A, B, C are sets, show that a) A x B= 0 ⇒ A=0 or B = 0. b) (AUB) x C = (AXC) U (BxX C). c) (An B)…

A:

Q: Show that if A and B are sets with A ⊆ B, then a) A ∪ B = B. b) A ∩ B = A.

A:

Q: A Partition of a set has 3 subsets: A, B, and C. If Pr[A]=.25 and Pr[B]=.45, find Pr[C].

A: The provided information is,P(A) = 0.25P(B) = 0.45According to the general law of probability, the…

Q: If X and Y are two sets such that           n ( X ) = 17, n ( Y ) = 23 and                    n ( X…

A:

Q: For any sets A and B, (AU B)

A:

Q: The set {(a,b) : a EA and b EB} denoted by ...............

A:

Q: 12. Find two sets A and B such that A e B and A B.

A: 12.Find two sets A and B such that A∈B and A⊑B

Q: If A and B are any two sets and A U B = A ∩ B, then a. A= Ø b. B= Ø c. A=B d. None of these

A: topic - sets option C.   A=B

Q: Let A, B and C be three sets. If A ∈ B and B ⊂ C, is it true that A ⊂ C?. If not, give an example.

A: No, it is not true. EXAMPLE- Let A= {2}  B= {{2},3,4} C={{2},3,4,5,6} We can see here that,

Q: If A and B are sets, then P(A) U P(B) = P(A U B). Select one: o True o False

A:

Q: (i) If A and B are two sets such that ACB, then m* (A) ≤m* (B).

A:

Q: Let A, B, C, D be sets. If A\ B CC\D, then ANDC B.

A:

Q: If n(A ∪ B) = 2n(A), then A and B are equivalent sets.

A: Here use definition of equivalent set

Q: If A and B are mutually exclusive, and if P(A) = 0.1 and P(B) = 0.4, what is P(AUB)? P(AUB)=

A: It is given that, P(A) = 0.1 and P(B) = 0.4.

Q: Let A B be any Sets then A B ifp PA) e PCB)

A:

Q: for any sets A and B (AUB)'=A'nB'

A: We prove that for any sets A and B (AUB)'=A'nB'.

Q: Let A and B be sets. Then B (B – A) -

A: Complement of set A =1-A

Q: For the sets A = {x | x <= 9, x is a natural number}, B = {2, 4, 6}, C = {3, 5, 8, 10}:a. Which…

A: Here given set A=x|x≤9, x is a natural number=1, 2, 3, 4, 5, 6, 7, 8, 9 and B = {2, 4, 6}, C = {3,…

Q: For any sets A  B, C, ( A ∩ B) ∪ C ≠ A ∩ ( B ∪ C). True or False.

A:

Q: If A,B and C are sets, then A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).

A:

Q: Let A and B be sets. Then B - (B - A) ANB is equal to the above Ā NB is equal to the above

A: Here ,we are given that A and B are two sets. We need to find  B-(B-A) : Now, Here ( B-A) represents…

Q: If A,B and C are sets, then (AUB)-C=(A-C)U(B–C).

A: