
(a)
The list of all the numbers between 1 and 2.
(a)

Answer to Problem 14CE
There are infinite numbers between 1 and 2.
Explanation of Solution
Given information:
The graph is shown below as,
Formula used:
The rational and irrational numbers.
Calculation:
List all numbers between 1 and 2.
From the referred figure observe that,
There are infinite numbers between two numbers and on a number line every point is paired with a number and every number is paired with a point.
Because between any two number there are infinite rational and irrational numbers.
Therefore, from the above argument:
There are infinite numbers between 1 and 2.
Conclusion:
There are infinite numbers between 1 and 2.
(b)
To find: The point on the number line for every number between 1 and 2.
(b)

Answer to Problem 14CE
A point on the number line for every number between 1 and 2 is possible.
Explanation of Solution
Given information:
The graph is shown below as,
Formula used:
The rational and irrational numbers.
Calculation:
Find a point on the number line for every number between 1 and 2 if possible.
There are infinite numbers between two numbers and on a number line every point is paired with a number and every number is paired with a point.
Because between any two number there are infinite rational and irrational numbers.
Therefore from the above argument, it is clear that a point on the number line for every number between 1 and 2 is possible.
Conclusion:
A point on the number line for every number between 1 and 2 is possible.
(c)
The number of points between S and T.
(c)

Answer to Problem 14CE
All the numbers between 1 and 2 are moving towards 2, thus numbers between 1 and 2 cannot be greater than 2.
Explanation of Solution
Given information:
The graph is shown below as,
Formula used:
The infinite rational and irrational numbers are used.
Calculation:
Find the limit to the number of points between S and T if possible.
Because between any two numbers there are infinite rational and irrational numbers and the numbers are in increasing order.
All the numbers between 1 and 2 are moving towards 2, thus numbers between 1 and 2 cannot be greater than 2.
Conclusion:
All the numbers between 1 and 2 are moving towards 2, thus numbers between 1 and 2 cannot be greater than 2.
Chapter 1 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Introductory Statistics
Elementary Statistics (13th Edition)
College Algebra (7th Edition)
Algebra and Trigonometry (6th Edition)
College Algebra with Modeling & Visualization (5th Edition)
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