Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Practice and Problem-Solving Exercises: 68

Answer

Yes

Work Step by Step

$\sqrt 2$ and $\frac{3}{2}$ are located in the interval 1 to 2 The constant $e$ and $\frac{7}{3}$ are located in the interval 2 to 3. $\pi$ and $\frac{7}{2}$ are located in the interval 3 to 4 Any interval can contain both rational and irrational numbers because you can take any number and "shift" it over into the desired interval by some combination of multiplying, dividing, adding or subtracting.
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