what is the cardinal number of the set {1, 3, 7, 4, 22, 16, 12}? Where denotes the set of all natural numbers.

Q: How many subsets of the set {1,2,3,4,5,6,7,8} have cardinality 3 or less?

A: Here we need to find how many subsets of the set A={1, 2,3,4,5,6,7,8} have cardinality 3 or less so…

Q: How can you use ordinal, cardinal, and identification numbers to teach students?  How can you use…

A: How can you use ordinal, cardinal, and identification numbers to teach students?  How can you use…

Q: Suppose the universal set is the set of natural numbers N. Consider the sets A = {1,2, 3, 4, 5, 6}…

A: We will answer the first three questions as per our guideline. Please resubmit the other questions…

Q: The cardinality of { Ø, 1, 2, 2, {1, 2}} is

A: We need to find the cardinality of { ϕ, 1,2,2,{1,2}}.

Q: Let J={1,2,3,…}, the set of counting numbers and let R be the set of real numbers. Is R-J countable?…

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Q: Find the cardinal number for the set, {28,29,30,35,38,39}

A: The answer as follows:

Q: Show that the odd numbers and the natural numbers have the same cardinality

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Q: The set of integer number is cinbounded set

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Q: Is a set {-22,-3,0,1,5,9,10} modulo 7 a RRS? Why? Is a set {-5,-22,-15,-9,-2,5,8,10,25,34,48} modulo…

A: A subset S of the integers is called a reduced residue system modulo n if: gcd(r, n) = 1 for each r…

Q: a) Find just one value of x such that x^2-5=0 if it exists in the set of real numbers (R) b) Find…

A: The given equations,(a) (b) .The aim is to find the real number solution to this equation.

Q: State the cardinality of the set. The set of subsets of {1, 5, 7, 11, 13}

A: We have to find the number of cardinality of the set.

Q: (4) Q= {all rational numbers}. Cardinality = finite infinite denumerable countable uncountable (5)…

A: Remark: The number of elements in a set S is called the cardinality of S.

Q: The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the…

A: From the Venn diagram n(A∩B∩C)=8+3=11

Q: What is meant by the Cardinality of a finite set? Give one example.

A: The cardinality of a set is meant by the number of elements of the given set. If the set has no…

Q: Determine the cardinal number of following sets (a) D = {five} (b) G = {x | x ∈ N and 5 ≤ x < 9}…

A: (a) D = {five} cardinal number n(D) = 1 (b) G = {x | x ∈ N and 5 ≤ x &lt; 9}   ⇒G={ 5,6,7,8}…

Q: List the first four elements in order of the set { x | x = 4k + 1, and k is a natural number} (List…

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Q: Find how many natural numbers n ≤ 1000 are not divisible by any of 2, 3 without repetitions

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Q: Show that the natural numbers and the rational numbers have the same cardinality.

A: Let integers Z are countable, we might wonder whether other infinite sets are also countable. We…

Q: Assume that A = {1, 2, 3, 5, 8, 7} B = {5, 3, 4} C = {2, 3, 5, 6} and that U is the universal set of…

A: It is basic set theory problem

Q: What is the cardinality of the power set of a set with 4 elements?

A: Introduction: The cardinality of a set:The cardinality of a set is the total number of unique…

Q: What is the cardinal number of the set E if it comprise of the letter from the word…

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Q: Determine if the statement is an "inclusive or" or and "exclusive or" A password must have at least…

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Q: What is the cardinality of the power set of a set with 5 elements?

A: The power set of a set S, denoted by P(S), is the set of all possible subsets of S, including the…

Q: Specify the sets by roster. (a) {Even counting numbers less than 16}     (b) {Positive multiples…

A: Specify the sets by roster. (a) {Even counting numbers less than 16} (b) {Positive multiples of 8}…

Q: A national retail store chain sells the XP Dog crate for $180 plus the applicable jurisdictional…

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Q: Determine whether the ff. proof is valid: for all sets A, B, and C, if A C B and BC C then AC.…

A: This is a valid proof.  Graphical presentation of the above statement is as follows.…

Q: g (a) A lattice. A complemented lattice. A Boolean algebra. h (b)

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Q: What is the cardinal number for the set B = {four} ??

A: Cardinal number of a set is defined by the number of elements in the Set.

Q: The symbol Ø refers to the empty set. What is the cardinal number of the empty set?

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