(a) Set-builder form: x x is a natural number and x>5} Roster form:| (b) Roster form: {15,16,17} Set-builder form: |(Choose one) {yy is a natural number and 15

Q: Write set of odd numbers greaten than 5 and less than 15 using set builder notation.

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Q: Write a proof that proves the Union Un an element of natural numbers (-1/n, 2-1/n)=(-1, 2). Also…

A: The given interval is (-1/n,2-1/n) where natural number n belongs to positive integers. So that we…

Q: What is the domain of the following {(3, 4), (9,1), (10, 5), (2,15), (8, 4)}

A: Domain : Domain consist of all input values shown in x axis.

Q: Use the order of precedence to eliminate parentheses: ((a(b*))|(c(b*))) none of these ab* |cb* (ab*…

A:

Q: show that 12ª> |A/ for each set A

A: The objective is to prove |2A|>|A| for each set A.

Q: Cavity Candies mass produces an assortment of hard candies, consisting of three flavors: cinnamon,…

A: Solution:

Q: Suppose a license plate number in this state can only contain capital letters and digits and can…

A: We have to find different license plate numbers are possible.

Q: Which of the following are difference sets? (iii) {3, 6, 7, 12, 14} in Z21.

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Q: Suppose a license plate number in this state can only contain capital letters and digits and can…

A:

Q: Consider the set {x|x less than or equal to -3} (in set-builder notation)

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Q: May sound like an obvious question but how does the set contain 0 when n is greater than 1?

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Q: Modal marks for a group of 94 students are 54. Ten students got marks between 0-20, thirty students…

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Q: In a group of people, 68 people can speak English, 45 people can speak in Arabic and 19 people can…

A: It is given that 68 people can speak English, 45 people can speak Arabic and 19 people can speak…

Q: Suppose that the universal set for all variables is Z, and let P(a, b, c) be the predicate a^2 = |b…

A: Given: The universal set for all variables is ℤ. Pa, b, c is a predicate a2=b-c. To provide:  (a) an…

Q: Suppose a license plate number in this state can only contain capital letters and digits and can…

A: Fundamental Principle of Counting: This is used to estimate the total number of ways of occurrence…

Q: Give a real-world example of the inclusion/exclusion principle that involves at least two finite…

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Q: True or False A set of integers is closed under addition and multiplication

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Q: Hi, What is the "{}" when it comes to sets? Like for example what is the difference between {x} and…

A: The "{}" means "the collection of" or "a set". There is a big difference in  between {x} and {{x}}.…

Q: Use the set definitions A = {a,b} and B = {b,c} to express each set below. Use roster notation in…

A: Here we are given two sets: andWhat is roster form of  a set?Roster form is a way to describe a set…

Q: 1. How many elements are in the set {49, 51, 53,..., 177}? >

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Q: What is the domain of the following: {(3,4), (9,1), (10, 5), (2, 15), (8, 4)}

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Q: Use graph to find set. (- ∞, 5)∩ [1, 8)

A: To determine: The set -∞,5∩[1, 8) using graph.

Q: Question 12 Select all that are True. A. O |P(A) × P(B)| = |P(AU B)| for all pairs of sets A and B…

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Q: Let a be a real number and f(x, y) = 2ax²y + 8xy³. Let v = 3i – j and let Vf(x, y) denote the…

A: use the formula for gradient of a function.

Q: What is the domain of the following: {(3,4), (9, 1), (10, 5), (2, 15), (8, 4)} O {3, 4,9, 1, 10, 5,…

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Q: а) За — 5 <7х +7 -6 –5 –4 –3 –2 – 1 2 3 4 6.

A: Given that:

Q: se metaphor/layman's term to discuss that the set N of natural numbers is not bounded above.

A: The problem is from real  number topology.

Q: Number 3

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Q: | 12-9x|=> -12 Please show sets

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Q: Show that the empty set of natural numbers and the set of all natural numbers are both diophantine.…

A: Let n be a positive integer and X a set of n-tuples of natural number . We say that X is diophantine…

Q: Taking the set of natural numbers as the universal set, write down the complementsof the following…

A: We have to write down the complements of the given sets.

Q: What is RP and show it is compart

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Q: Let ai = [250] -10 and a2 = h [4] The set {a1, a2} will span R² unless h = (If there are no values…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.