Purchase Solution

Proof about Ordering the Real Numbers

Not what you're looking for?

Ask Custom Question

Given any two real numbers x < y, we can find a rational number q such that
x < q< y.

Hint: you can prove this by using the following statement: for any positive real number x > 0 there exists a positive integer N such that x > 1/N > 0

Purchase this Solution

Solution Summary

This solution explains how to provide proof about the ordering of the given real numbers.

Solution Preview

Dear Student,

** Please see the attachment for the complete solution response **

Given any two real numbers x < y, we can find a rational number q such that x < q< y.
Hint: you can prove this by using the following statement: for any positive real number x > 0 there exists a positive integer N such that x > 1/N > ...

Purchase this Solution


Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.