What does the set of real numbers consist of?

Q: Find the distance between A and B on the number line below. -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0…

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Q: My question is The product of two integers will have the same sign as the quotient of the two…

A: The given statement is true always ,becauseLet take two numbers x and yCase I x and y both are…

Q: Does the symbol for infinity (q) represent a real number?

A: Yes, the symbol for infinity (∞) represents a real number.  Infinity (∞) means a very big number.…

Q: Every real number is either a/an_______ number or a/an________ number.

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Q: list the numbers in each set that are (a) Natural numbers, (b) Integers, (c) Rational numbers, (d)…

A: F=-2, π+2, 12, 10.3

Q: True or False ? All irrational numbers are real numbers

A: All irrational numbers are real numbers

Q: A right-angled triangle has shorter side lengths exactly c2−b2c2−b2 and 2bc2bc units respectively,…

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Q: Define the term domain of nonnegative numbers?

A: Non negative numbers are all real numbers that are 0 or greater than 0.

Q: If a and b are real numbers, the commutative property of addition states that a + b =

A: If a and b are real numbers, the commutative property of addition states that a+b =    Suppose two…

Q: How a non-terminating non-recurring decimal real number can be represented on a number line?

A: To determine a method to represent non-terminating non-recurring decimal real number can be…

Q: What is any expressions raise to the power of zero is equal to?

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Q: Give an example of an irrational number that greater than 10:

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Q: State the property of equality or the property of real numbers that justifies the statements. c(x) =…

A: We have to state the property pf equality or the property of real number that justify the given…

Q: what are some irrational numbers characteristics

A: We need to tell some characteristics of irrational numbers. The characteristics are as follows:

Q: of

A: A function value is said to be does not exist if it does not have any finite value at that point.

Q: A student has scores of 78, 77.25, and 81.75 on his first three tests. He needs an average of at…

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Q: For any constructible positive number α, show that ±squrt(α) are constructible. Correct answer only.

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Q: Define an odd number and show that the product of odd even numbers is also even.

A: We need to first define an odd number. And layer prove product of an odd and an even number is…

Q: Choose at least 5 among the properties of the Real Number and give them an example in real life…

A: Solution is given as below:

Q: Express the interval shown on the number line in interval notation. -12 -10 -8 -6 -4 -2 0 2 4 6 8 10…

A: In this question we have to define the interval shown on the number line in interval notation.

Q: Rewrite the number without using the absolute value symbol, and simplify the result. 16. |- 3 - 2|…

A: The values in the absolute are always positive. Therefore, remove the absolute symbol and consider…

Q: Use direct proof to show that product of two consecutive integers is even.

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Q: the average depth of a certain ocean is 10,551 feet below the surface of the ocean. the integer that…

A: Integers are set of numbers that include negative numbers along with whole numbers. A number greater…

Q: On the real number line, the origin is assigned the number_______?.

A: Given: On the real number line, the origin is assigned the number_______?

Q: Show that this number is Irrational number

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Q: what are integers ?

A: An integer can be described in simple words as a whole number with negative and positive sides. You…

Q: (c) Show that 3/2+ 2/3 is an algebraic number?

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Q: If a rational number times an irrational number is

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Q: Every real number is either a/an number or a/an number.

A: Every real number is either a/an _____ number or a/an ____ number.

Q: Prove: “The sum of two even integers is even.”

A: To prove: The sum of two even integers is even. n is an even number if it can be expressed as n =…

Q: An ________ is a statement that equates two algebraic expressions.

A: We have to fill in the blanks: An ---- is a statement that equates two algebraic expressions. We…

Q: 9. On a real number line, label the points with coordinates of 3 0,1,–1,-,-2.5,- and 0.25 4 2

A: The graph is shown in next step.

Q: If the arithmetic mean of two unequal positive real number 'a' and 'b’, (a > b), be twice as great…

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Q: The set of rational numbers is closed under division. True or False?

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Q: how would I put all real numbers as an answer for H

A: Domain is the input that a function can take. So  If you put any value of x in h(x) then you will…

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

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Q: What two positive real numbers whose product is 11 & have the smallest possible​ sum?

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Q: State the fundamental theorem of arithmetic.

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Q: Use a direct proof to show that the product of two odd numbers is odd.

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Q: State the Fundamental Theorem of Arithmetic.

A: This is a B.sc course problem (Chapter- Integers),so I can do it in Advanced mathematics.

Q: Are sets of rational numbers and irrational numbersdisjoint sets?

A: Explanation:-  Rational numbers can be written in the form pqwhere q≠0. The numbers other than…

Q: What does the Fundamental Theorem of Arithmetic tell us about natural numbers?

A: THIS question related to number theory.

Q: be a positive number. Determine the values of p for which

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Q: list the numbers in each set that are (a) Natural numbers, (b) Integers, (c) Rational numbers, (d)…

A: (a) Natural numbers are the whole numbers greater than 1. Any element of set D is not a positive…

Q: True or false, for any integer x, x^2, - x will always result in an even number

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Q: How many real numbers that are not rational numbers can you name?

A: There are infinite real number which is not rational number

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.