Question 2 * Which of the following is a true statement? A. All real numbers are rational numbers. B. All whole numbers are natural numbers. C. All integers are whole numbers. D. All natural numbers are integers.

Q: Would both of these questions have the same answer? 450+550/10 450+550 --------- 10

A: Given           450 + 55010  and 450 + 55010

Q: Let n be a real number and let e be a positive real number. Determine whether there exists a real…

A: see the attachments

Q: Which of the following is NOT equivalent to the set of natural numbers? O a. Set of prime numbers…

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Q: Give a direct proof of the theorem “The sum of any two odd integers is even”.

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Q: 3. Every nonzero number has a reciproc Which of the following statements are correct? All nonzero…

A: 3. all options are correct

Q: How many three-digit numbers can be formed under each condition? (a) None of the digits can be 9.…

A: Here 3-digits numbers can be formed. a) 9 not be used b) lead dgits 0 to 4

Q: 3. Given statement: “For any real number x, if x is rational and x is not 0, then 1/x is rational."…

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Q: If α and β are two real numbers, we say that β is equivalent to α if there are integers a, b, c, and…

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Q: The following statement (if z is a natural number then z is an integer) is correct. Choose one of…

A: An integer is a whole number ( not a fraction number) that can be positive, negative, or zero. The…

Q: Question 21 Which of the following expressions is a closed form of the sum of the integers from 92…

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Q: To which rational number subset(s) do the following numbers belong? 0, 2, 4, 8, 10, 12 A. integers,…

A: Consider the numbers  0,2,4,6,8,10,12

Q: 1. Which of the following is CORRECT? a. The intersection of the set of rational numbers and…

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Q: (a) Suppose x is an irrational number. Show that there is an integer n such that |x – n| < 1/2. (b)…

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Q: If AB = BA and p is a nonnegative integer, show that (AB)p = A p B p .

A: Given p is non-negative integer AB=BA

Q: If a ≠ 0, the degree of axnym is___________.

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Q: Which of the following is FALSE about the relationship between whole numbers and rational numbers? O…

A: We are given 4 statements regarding knowledge in whole number and rational numbers. We need to find…

Q: If Q is a rational number, which statement cannot be true? O is a decimal number that terminates at…

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Q: Determine whether the following statement is true or false: 1 ¢ {x|x is a natural number}. 4

A: Given statement is 14∉x|x is a natural number. To determine whether statement is true or false.…

Q: 1. Which of the following is not a rational number? А. - 181 С. В. -9 D. 63

A: A rational number is a number that can be in the form p/q where p and q are integers and q is not…

Q: Questions: 1. Give an example of a whole number that is not a natural number. 2. Give an example of…

A: SOLUTION-

Q: b) Is it possible to formulate a conjecture about the units digit of numbers of the form 7^2 -  2^n,…

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Q: 1. Which of the following represents all real numbers greater than -4 but not more than 8. A) [-4,8)…

A: 1)

Q: on the set of rational numbers as a b = ab D. Com

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Q: If A = {x : x is a natural number },               B = {x : x is an even natural number}  C = {x : x…

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Q: (*:') • (":") - () n+1` + 1 a 3 2

A: From ncr formula we can easily derive the answer.

Q: Which set of numbers contain V2? A Integers B Natural numbers C Rational numbers D Irrational…

A: First let to know , *Natural Numbers: The numbers 1,2,3,4,... are called natural numbers. *Integers:…

Q: Drag each of the numbers given above into the appropriate category below. Numbers may be members of…

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Q: {x|x is a natural number and 20<x<24}

A: x | x is a natural number and 20&lt;x&lt;24

Q: Are the following statements TRUE or FALSE? e  is a rational number. _____________   2. Every…

A: Consider the provided question, (1) e is rational number, true or false. Since, a rational number is…

Q: Question 3: If n is a positive natural number (like 1, 2, 3 etc.), what number would belong in the…

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Q: 9. Which diagram represents the statement "If a number is an integer, then it is a rational number."…

A: The given statement:If a number is an integer, then it is a rational number.

Q: For all natural numbers, P ( n , n ) = n ! True False

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Q: Consider the following set. {-5, -2, -4/3, 0, 1, V3, 2, 2.25, 3, 8} Which numbers are rational…

A: The given set of numbers is {-5, -2, -4/3, 0 ,1, 3, 2, 2.25, 3, 8} Rational numbers are of the form…

Q: Define the binary operation * on the set of rational numbers as : a*b = ab + a -b. What should be…

A: Given binary operation is a*b = ab + a - b

Q: QUESTION 26 r+2x x+1 Is Irrational Given ran irrational number, show by contradiction that for any…

A: Given r is an irrational number. We need to prove (r+2x)/(x+1) is also irrational with x not equal…

Q: In 1742, Christian Goldbach conjectured that every even number greater than 2 can be written as the…

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Q: Question 4: If n is an integer, then 3n? – 5n + 9 is odd.

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Q: Two-digit natural numbers are formed, with replacement, from the digits 0 through 9. How many…

A: Given that two-digit natural numbers are formed, with replacement, from the digits 0 through 9. So…

Q: Identify the conclusion in the statement: Composite numbers are a subset of integers and irrational…

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Q: The subject is DISCRETE MATH   Give a direct proof of the theorem “The sum of an even integer and…

A: Assume even and odd integers p and q respectively. Thus, p and q can be written as: p=2m and q=2n+1…

Q: Are the irrational numbers closed under multiplication? Choose the correct answer below. O No O Yes

A: we have to determine whether irrational number closed under multiplication

Q: Which of the following are not real numbers? (Select all that apply.) (−6)1/2 (−6)1/3 (−6)1/4…

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Q: Which of the following statements is NOT true? A The set of natural numbers is a subset of integers.…

A: All the positive numbers 1, 2,3,,..... are called natural numbers.

Q: 14 - Since x is an odd number, which of the following is an even number? A) (X + 1) +1

A: Answer and explanation is given below..

Q: 2 51 is an irrational number. (True/False)

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Q: For positive integers a, b, c, if a|b then ac b. O True False

A: We have to check whether the statement, "For positive integers a, b, c if a|b then ac|b." is true or…

Q: For all prime numbers  a, b, and c, (a^2 +b^2) does not equal c^2. prove by contradiction

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Q: The product of an odd and an even number is an even number. Consider 15 and 36. What conclusion can…

A: A number is said to be odd if it is not a multiple of 2. A number is said to be even if it is a…

Q: True or False: For all integers a, b, and c, if a divides b and b divides c, then a divides c. True…

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Q: 4. In which section of the diagram does 15 belong? 3. the number Rational numbers Integers Whole…

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