Let A = {1,2, 3, 4} and B be the set of prime numbers between 6 and 15. What is the cardinality of A x B (cartesian product of A and B)? O a. 16 O b. 20 12 O d. 7

Q: 2. Determine the cardinality of the following sets. (a) {2x :1<x < 16} (b) {N} (c) {0,2 – 1, V4, ø,…

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Q: The cardinality of the Power set of the set {1, 5, 6} is а. 5 b. 6 с. 8 d. 10

A: The cardinality of a set is the number of elements present in that set . If n is the number of…

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Q: Show the power set of the following set: A = { {5, 4, 7} , 8, {1} } Question: What is the…

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A: We are given a definition of proper subsets: " A proper subset of a set A is subset of A that is not…

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A: Given that, C = {1, 3, 5, 7, 9, 11, 13, ............... }

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Q: 4. Let the universal set U, and the subsets of U are A = (x\x is a letter of your first name). B =…

A: Given: The universal set U is, A =  x / x is a letter of my first name    =  s , a , h , d , e , v

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Q: List all the elements of the following sets :(i) A = {x : x is an odd natural number}(ii) C = {x : x…

A: (i) A = {x : x is an odd natural number} = {1,3,5,7,9,11,.....}   (ii) C = {x : x is an integer, x2…

Q: Let A = {1, –2, 3, -4, 5, –6, 7} and B= { prime numbers less than 20}. What is the cardinality of B\…

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Q: Let A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6}. Find the cardinality of the given set.34. n(B)…

A: Given  A = {1, 2, 3, 4, 5}, B = {1, 3, 5}, C = {4, 6}.To find the cardinality of the given sets

Q: Let S {2,3, 5, 7,...} be the set of all prime numbers, and let P(S) {T |TC S} be the power set of S.…

A: We will answer the first question as we don't answer multiple question at a time. Please resubmit…

Q: Let D= (4,7,9}, E = (4,6,7,8} and F = {3,5,6,7,9). List the elements in the set DUE. DUE= } (Use…

A: A set is a collection of well-defined distinct elements, which are separated by commas and enclosed…

Q: 16. consider the following sets: U={-5,-4,-3,-2,-1,0,1,2,3,4,5}; A={x: x^2=25} ;B={-5,0,1,2,3,4,5};…

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Q: Determine the cardinality of each of the following sets. a. A x B, where A = {a, b, c, d, e}, B…

A: a) A=a,b,c,d,e, B=xb) a,b,cc) d) Φ,Φ,Φ,a,

Q: "A proper subset of a set A is a subset of A that is not equal to A". According to this definition,…

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Q: Which of the following pairs of sets are disjoint and which are not ? (i) {x : x is an even natural…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let a be a cardinal number >1, and let b be an infinite cardinal numb er. Prove that if a = ab, then…

A: Given: a is a cardinal number greater than 1 Also, a=ab ⇒a-ab=0⇒a1-b=0 So, either a=0 or 1-b=0 As it…

Q: 6. What is the cardinal number of the set {coke, royal, sprite}? O A. 2 Ов. 3 В. З С. 4 O D. 5

A: Topic :- Set Theory  The number of distinct elements present in a set is the cardinal number of the…

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Q: cardinal numbers

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Q: 8) a) List the elements of each of the following sets, using the .' notation where necessary: i)…

A: Since it is multiple questions with multipart. As per our company guidelines, we have to solve the…

Q: 8) What is the cardinality of AU B? A) 4 B) 3

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Q: Find the cardinality of the following sets. 13. C = {1, 5, 4, 11, 13} 14. D = {0} 15. E = ∅

A: The cardinality of a set is a measure of a set's size, meaning the number of elements in the set.…

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Q: The cardinality of x = {n|1<n s 96, n is not divisible by either 2, 4 or 6} is

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Q: 2. For this problem, let the universal set U ={1,2,3,..,20}, and A = the elements of U that are…

A: U = {1,2,3,......,20} A = Elements of U that are congruent to 3 mod 4

Q: Which of the following sets is NOT an empty set? Select one: a. The set of natural numbers less than…

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Q: find the cardinalty of the following set {3.6.9.12.......414{

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Q: 2. Let A = {1, 2, 3, 4, 5, 6} and B= {2, 4, 6, 8}. What is the cardinality of B? A U B, A N B?

A: Given that  A={1, 2,3,4,5,6} and B={2, 4,6,8}

Q: Select the following statements that are true. A and B are arbitrary sets. AnB=AUB {0} = P(A) {0}…

A: To select the true statements. A and B are arbitrary sets.

Q: Which of the sets below, if any, have the same cardinality as each other ?    A = {15, 20, 25, ...…

A: We know that the cardinality of a set is the number of elements presented in that set. Cardinality…

Q: What is the cardinality of the following set? p(R\6)

A: The objective is to find the cardinality of the given set: R/Q¯¯

Q: Consider the sets. A = {distinct letters in the word pipe} B = {13} C = {p, i, e} D = {3 + 1} E =…

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Q: Suppose that the universal set U is the set defined as U={1,2,3,4,5,6,7,8,9,10} Write the sets A…

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Q: Select the following statements that are true. A and B are arbitrary sets. AnB=AUB {0} ≤ P(A) {0}…

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Q: 1. Use counting to determine the whole number that corresponds to the cardinality of these sets. (a)…

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Q: Three sets are defined as follows: M = {natural numbers < < 20} P = {prime numbers < 20} Q = {odd…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Let A ={1, 4, 7, 10, 6, 5}, B = {4, 8, 10, 2, 9}, and C = {2, 3, 4, 5} Show the Venn Diagram of the…

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Q: 5. Prove that if ac < b°, then a <b where a, b, c are car din al numbers.

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Q: What is the cardinality of the set of integers X defined below? X={n| 1<n<12 n is not divisible by…

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Q: U Y LOUT 11. consider the following sets: U = {-5, –4, –3, –2, –1,0,1,2,3,4,5}, A = {x: x² = 25), B…

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Q: "A proper subset of a set A is a subset of A that is not equal to A". According to this definition,…

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Q: . consider the following sets: U = {-5,–4,–3, – 2, –1,0,1,2,3,4,5}, A = {x: x² = 25}, %3D CTY B =…

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