3. In the video lecture on the countability of the non-negative rational numbers, we show these numbers are countable because we place them in an order. What are the rational numbers that occur before and after 34/55 in that order?

Q: Describe how equivalence classes can be used to definethe rational numbers as classes of pairs of…

A: To Describe: How equivalence classes can be used to define the rational numbers as classes of pairs…

Q: Prove that the sum of an irrational number and a rational number is irrational using a proof by…

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Q: 12 The non-permissible value(s) for the rational expressions 4 is (are) x2-4

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Q: se a dire tional.

A: Introduction: A direct proof is a logical series of statements that demonstrate the truth or falsity…

Q: Place a check mark in the table to identify all the sets that the identified number belongs to.

A: Natural Numbers -  All numbers starting from 1 to infinity are natural numbers.Whole numbers - All…

Q: Can any one please explain to me each one of this. - Real numbers - Whole numbers - Integers -…

A: Topic = Number system

Q: 6 Show that for an integer n ≥ 2, the period of the decimal expression for the rational number is at…

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Q: Part III: Prove the following 5. Prove that 32.753215321... is a rational number.

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Q: 1) Prove that the numbers -197, -239 are prime numbers 2) Find all prime numbers between -90 and 90.

A: number system

Q: True or False All prime numbers are even.

A: Given statement is  "All prime numbers are even".

Q: What are 3 irrational numbers between 4 and 5? And 3 irrational numbers between 7 and 8?

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Q: Prove that if n is an integer and 5n + 6 is even, then n is even.

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Q: True or false All fractions are real numbers- The elements of prime numbers are odd number-…

A: There are 5 statements to check whether the statement is true or false.

Q: prove the set of all irrational number between-6 and -4 is uncountable

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Q: (a) Determine if the following numbers are prime: 101! + 78, 88! + 55 (b) Is 299 + 1 divisible by…

A: A prime number cannot be divided by any other number except 1 and itself. Now use this definition to…

Q: G I G L 6.1 soup sound ofte for

A: The given number is 1.212121⋯⋯⋯. The number 21 is repeated continuously after the decimal in the…

Q: what are the integers of 4 < x < 6

A: An integer is a real number which can be represented as a whole number without any fractional…

Q: Any rational number has a reduced form For example 12/70, 18/105, 600/3500 all represent the same…

A: According to the given information, it is required to write the characteristics of numerator and…

Q: 6. Prove that x is a rational number if and only if 2x - 1 is a rational number.

A: To Prove: x is a rational number if and only if 2x-1 is a rational number.

Q: 1) Give an example of a rational number AND an irrational number.       What is the difference…

A: (a) A rational number is of the form pq where p and q are integers where q≠0. The numbers that…

Q: How do I prove that if a,b are rational numbers, then so is (a+b)/2

A: If a,b are two rational numbers, then we have to prove thata+b2 is also a rational number.

Q: Which of the following sets consists of rational numbers only? Select one: 41 -6.3, , 7 2 3 2, 0.81,…

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Q: Prove that 3+√3 is irrational.

A: As per guidelines we are supposed to solve the maximum one questions at  a time kindly post another…

Q: Prove the associative property af the rational numbers (Q) a

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Q: A real number of the form p/2", where p is an integer and n is a nonnegative integer, is known as a…

A: We have to prove that there is a dyadic rational number between any two distinct real numbers. By…