Real Analysis of Irrational Numbers
Not what you're looking for?
Proof:
Given any two real numbers a<b ,there exists an irrational number t satisfying a<t<b
Purchase this Solution
Solution Summary
The expert provides a proof for given any two real numbers a<b ,there exists an irrational number t satisfying a<t<b
Solution Preview
Let decimal expansions of two real numbers a and b (a<b) first differ in the nth digit.
First, if the nth digit is not the last digit of b, consider the number bn obtained from b by cutting all the digits of b after the nth, then: a<bn<b.
there is two cases here:
(1)b has non zero digits after the nth, Append to bn one zero digit, give the result number to t;
(2)b has zero digits right after the nth. Let bm be ...
Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
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.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.