a. If Set X = {x| xeZ and x is your phone number } and Set Y = {x|x is the letters of your birth place}. Find Y × X b. Explain by your own words the types of sets and give example for each type. 3.

Q: Given A = {1, 3, 6, 8, 9, 12, 15} and B = {6, 9, 12}, which is TRUE? Choose from the choices below…

A: a) disjoint set: In mathematics, two sets are said to be disjoint sets if they have no element in…

Q: Which of the following pairs of sets are equal? Justify your answer.(i) X, the set of letters in…

A: i) X, the set of letters in “ALLOY”. So, X={A,L,O,Y} B, the set of letters in “LOYAL”. so,…

Q: a. If Set A = {x| xeZ and x is five digits and Set B = {x\x is the letters of your first name}. Find…

A:

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: 5. Consider the sets A = 0 and B = {0} and C= {1,0}. Find each of the following sets, if it is…

A: The given sets are                       A=ϕ and B=ϕ and C=1,ϕ. Here the set A is the empty set,…

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

A: Since R is universal set.

Q: , B, and C which satis

A: Given as, A= {1, |B|, |C|} B= {2,| A|, |C|} C= {1, 2, |A|, |B|}

Q: Determine the domain and range of the following relations using set builder notation. а. b. 2. 3 1 2…

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Q: 4. If A ={x:xe N }, B={y:ye z and -10s y<0} find A UB and write your answer in the Roster form as…

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Q1\ Use the Venn diagram to find the requested sets. 1)C N B' 2) A- C 3) AN(B'-C) 20 15 10 5

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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: Given that the elements of the sets A, B, and C are defined as:  U = {a, b, c, d}        A = {a, b,…

A: Topic : Set theory

Q: d if -1<r e if r<1 ist the open sets in the quotient topolo

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Q: Consider the sets A = {16}, B = {10 + 6}, C = {10, 6}, D = {25}, and E = {2, 5}. (a) What is the…

A: Given that: Sets A = {16}, B = {10+6}, C={10,6}, D={25}, E={2,5}

Q: given a = {3, 5, 7, 9, 11} and b = {2, 3, 4, 5, 6, 7}, find the intersection of set a and set b.

A: Given:-   a =  3 , 5 , 7 , 9 , 11   b =  2 , 3 , 4 , 5 , 6 ,7

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,B and C are sets, then A x (B-C) = (A × B)- (A x C). |

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: Consider the sets: A={a,b,c} B={b,c,d} C={a,c} D={d,c,b} For each statement below, state whether the…

A:

Q: Let A, B, and C be finite sets, with ACBC C and n(B) = 7. (a) What are the possible values of n(A)?…

A: Given:  A, B, and C are finite sets. A ⊂ B ⊆ C and n(B) = 7. Subset and subset notations: A subset…

Q: Let A= [a, b c, d, e) and B=(a, b, c, d, e f g, h). Match the given sets in the left to the sets in…

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Q: Decide, among the following sets are subsets of one and another: A=(x xeRand x satisfy x² - 4x + 3 =…

A: Given sets, A=x: x∈R  and  x satisfy x2-4x+3=0B=1, 3C=1,3,5D=4,5,6

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…

A:

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: Let A, B, and C be sets, evaluate: (A - C) n (C – B) O A O AnB O None of the choices

A:

Q: Which of the following could be considered as NOT an equal set? B = (x : xe Z, -3 < x 0}; C = {0,…

A: Equal sets are the two sets having same element.

Q: Q1\ Use the Venn diagram to find the requested sets. 1-4N B' 2) B-C' 20 15 3- A- (B'U C) 10

A:

Q: a. If Set X = {x| xeZ and x is your phone number } %3D and Set Y = {x]x is the letters of your birth…

A: Set X=x:x∈Z and x is your phone number and Y=x:x is the latters of your birth place. Then we have to…

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

A:

Q: Write the following sets using set -builder form: а. А%3D {2, 5, 8, 11, 14} b. В% {1,5, 10, 17, 26}…

A: A={2,5,8,11,14} the numbers are natural numbers the numbers in A are increasing by 3 x=first term…

Q: For sets A and B of integers, define A + B = {a + b: a E A, b E B}. If |A| = |B| = 5, how small and…

A: To determine the range of cardinality of set A+B, where given  A=B=5

Q: Suppose A and B are two finite sets such that |B| = 2 |A| and the number of relations on A is 16.…

A:

Q: If X and Y are two sets such that X has 30 elements and X ∪ Y has 50 elements and X ∩ Y has 8…

A: We are given: X has 30 elements and X ∪ Y has 50 elements and X ∩ Y has 8 elements We need to find:…

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: a. If Set A = {x| xeZ and x is five digits and Set B = {x|x is the letters of your first name}. Find…

A:

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: Are the following pair of sets equal? Justify your answer? A = { x:x is a letter in the word FOLLOW}…

A: Set: A set is a well-defined collection of distinct objects. Equality of Sets: If two sets A and B…

Q: Find AnB, the intersection of sets A and B. A={x: x is a natural number less than 4} B = {3, 4, 5,…

A: Intersection of sets: It is the set of all those elements of the sets A and B which belong to both…

Q: If A and B are two sets satisfying A∖B=B∖A what can we conclude about A and B? Explain.

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Q: Let A and B be finite sets. (a) Explain why n(ANB) s n(A). (b) Explain why n(A) s n(AUB). (c)…

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Q: Given the sets U= {x / x is a letter in the word "entertainment"} A= {a ,e ,i} B= {x/x is a…

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Q: For the sets A = {x | x &lt;= 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: Let A and B be finite sets with |A|=10, |B|=5, |A∪B|=12 what is |A∩B|?

A: Given,  |A|=10 |B|=5 |A∪B|=12 |A∩B|=?

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…