If either A or B empty set then Ax B equal empty O A

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: 1. Determine which of the following statements are true for all sets A, B, C, and D. If a double…

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Q: What is(are) the value of a if -3 = 0 の+1 I = 1 det

A: For abcdDeterminant=ad-bc

Q: If set A X B=B X A then which of the following sets may satisfy

A: CARTESIAN PRODUCT The cartesian product of set X to the set Y is given by the set of all possible…

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: 1. example of sets A and B for which A B but Ag B.

A: Cardinality of a set is number of elements in the set.

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

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Q: Let A and B be sets. 1) If |A| = 10, |B| = 24, and |A n B| = 4, then |A U B| = || %3D 2) If |A U B|…

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Q: Which of the following expressions is NOT equivalent to ((Y \ (Z \ Z)) \ (X UY))? (Please note -…

A: Given, the expression                                We have to check that which one gives the same…

Q: Let S = (x: (x - 1)² = 0}, state where S is singleton set or not.

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Q: Suppose A and B are sets such that |A| = 2 and |B| = 3. What is |P(A x B)|?

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Q: Which of the following statements is true about the three sets A.B.C defined below: A=[ – 4,4]…

A: The given three sets are: A=[-4,4]B=[-6,2]C=[-2,6] i.e. the set A consists of the elements…

Q: • Let A, B and C be sets, then (AN (B U C))- 1. (AUB“)nc- 2. (BU A) n c- 3. (CNB5)UA- (AN BE)nce 4.

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Q: Let A, B, and C be sets. Is the following equality true or false? A x (BUC) = (A × B) U (A × C')

A: Sets, distributive law

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

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

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Q: Give me Example of the ff. sets 1. Equivalent Sets 2. Disjoint Sets 3. Empty sets 4.…

A: In this question we just want to write  the examples of different sets

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: Given the sets X = {x: x is an odd number less than 17}and Y= {y:y is a prime number less or equal…

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Q: Are the following pair of sets equal ? Give reasons.(i) A = {2, 3},…

A: A = {2,3 } B = {x : x is solution of x2+ 5x + 6 = 0} x2+ 5x + 6 = 0 x2+3x+2x+6=0 x(x+3) +2(x+3)=0…

Q: Let A and B be sets. Then B (B – A) is equal to the above A N B

A: The Venn diagram for 2 sets can be drawn as follows.

Q: If A and B are sets; A and B denote the complements of the sets A and B, then set (4- B)U(B –…

A:

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: Let A and B be sets. Then B - (B - A) ВПА ANB is equal to the above O is equal to the above ĀNB None…

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Q: Determine if each statement is true or false. 1. If A not equal to B then A ∩ B = empty set. 2. If…

A: we will be using basic set theory to answer these questions

Q: 2- Two sets P &Q are said to be Equal

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

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 –…

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Q: a) DeMorgan's laws tell us that for sets A and B, the expression (Aº n Bº)° simplifies to

A: For two sets A and B the De Morgan's Law states that A∩BC=AC∪BC.

Q: Consider sets A={1,3,5} and B = {2,4,6}. find A ∩  B

A: We apply the property of intersection

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 any three sets. Then Ax (BUC)=

A: Given that A, B and C are three sets. We need to find A×{B ∪ C}.

Q: Let A and B be sets. Then B- (B – A) | ANB O is equal to the above ĀNB is equal to the above None of…

A: we have to simplify                                                             B-B-A we know that…

Q: if A and B are set, then A x B=B x A  True or False

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Q: The set {1,2,3,4} is open .A O closed .B O neither open nor closed .C O none of above .D O

A:

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

A: Given A and B are sets. Ac and Bc denote the complements of the sets A and B.

Q: TRUE (c) The union of two sets, A and B, is the set of all elements in A and B. FALSE

A: We have to say whether it is true or not " The union of two sets A and B is the set of all elements…

Q: Can you conclude that A= Bif A B, and Care the sets such that a) AUC= BUC (Click to select) v b)…

A: Use the properties of set.

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

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Q: 1. If AnB = A, then A = B. 2. Suppose A, B,C # Ø, if A # B and B÷C, then A # C. 3. The set {Ø} is a…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: For any sets A and B, (AUB) = A' NB'.

A: For any two sets 'A' and 'B' A∪B'=A'∩B' In order to prove equality we will show: (A∪B)'⊂A'∩B'…

Q: Let A, B, and C be non-empty sets. Then AXBXC=A×C×B if and only if * O None of these O A=C O B=C O…

A: B=C

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

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

Q: Provide a counterexample to show that each statement is false. You may use words or a diagram. If ab…

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Q: For any two sets A and B, if A=B,then A=B صواب ihi

A: Given a statement

Q: our answer Prove or disprove For all sets A. B and C, ir ABOC-0, then A. B and C are UD. AN, A.A-B.…

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Q: The symmetric difference of two sets A O B is the set of elements that are in either the set A, or…

A: The aim is to show that, A⊕(B⊕C)=(A⊕B)⊕C It is known that, A⊕B=A∪B-A∩B So A⊕(B⊕C) can be written as,…

Q: 31. If A and B are sets and An B = A, then ОВСА O B is empty O AC B A and B are

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Q: 4. Write each of the following sets are in the set builder form ? (i) A = {2, 4, 6, 8, 10} (ii) B =…

A: Since you have posted a multiple  question according to guildlines I will solve first…