Is the set of rational numbers open or closed?

Q: How do you determine what the negative integers greater than -7 are?

A: We can determine negative integers greater than -7 from real line or from set on integers.

Q: We need to find all the whole numbers that have remainder 1 upon division by 4 and write our answer…

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Q: For the set ?={−3,0,57,−8‾√,2.314520968724609....,14}A={−3,0,57,−8,2.314520968724609....,14}.…

A: Given :A=-3,0,57,-8,2.314520968724609...,14To indentify those that are…

Q: Explain why every integer is a rational number but not every rational number is an integer.

A: Definition of Integer:ℤ = {0, ±1, ±2, ±3, ...…

Q: 1. Show that subtraction is not associative for the set of integers.

A: Definition :Let "." be a binary operation and A is a setThen "." is said to be associative for A if…

Q: 05 Answer Q6 Answer Define the binary operation on the set of rational numbers as: a b = ab - a+b…

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Q: V2. 2.5, 0.4. V16 5 Rational -, 2.5, 0.4. V16 Irrational -,2.5, 0.4. V16 Rational 5 Irrational…

A: The number is said to be a rational number if it can be written as the form ab where a and b are…

Q: Choose the letter of the correct answer. If U is a nonempty open set of real numbers and Q is the…

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Q: Let A be a dense subset of R. Which of the following statements about A is true? Select one: a. the…

A: Given that A is a dense subset of ℝ.  Then, by definition, every point x∈ℝ is either an element of A…

Q: What conclusion can I make about the sum of two rational numbers?

A: Given : Sum of two rational numbers.

Q: Explain the relationships and differences among real numbers, rational numbers, and irrational…

A: The relationships and differences among real numbers, rational numbers and irrational numbers.

Q: what do you do to check if a number is rational or irrational? In your explanation, use an example…

A: Rational numbers : These are the numbers which can be expressed in the form of fraction as pq form…

Q: if the operaton ☆ is cde fined on the set of rational numbers by solve the equation X * 4= fx*…

A: Solution :  Given that the operation * is defined in the set of rational numbers by    x * y = x + y…

Q: Which of the following sets are equivalent to the set of natural numbers? a. The set of real…

A: We want to find the correct options.

Q: Is it possible for the set of rational numbers Q to be isomorphic to R? Explain.

A: Answer :  No , ℚ and ℝ are not isomorphic as rings. Explanation :              Suppose f:ℝ→ℚ be any…

Q: Find the total number of integers 'n' such that 2 ≤ n ≤ 2000 and H.C.F. of n and 36 is 1.

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Q: How do I prove that the difference between two rational numbers is again rational.

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Q: Explain how the sets of numbers (counting, whole, integer, rational, irrationals, reals

A: Concept:   A branch of mathematics which deals with symbols and the rules for manipulating those…

Q: Which of the following sets are uncountable? The set of reals R The set of rationals Q The set of…

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Q: Can someone please explain the difference between a rational and irrational #? Please explain in…

A: We have to explain the difference between a rational and irrational. The difference between a…