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D. The computation from part C above shows that between any two unequal real numbers is another real number different from the original two. Explain. E. If we assume that b is greater than a, then the difference batis frequently called the radius of the interval (a, b). Thinking visually in terms of a horizontally-oriented number line, explain why this choice of words make sense.

D. The computation from part C above shows that between any two unequal real numbers is another real number different from the original two. Explain. E. If we assume that b is greater than a, then the difference batis frequently called the radius of the interval (a, b). Thinking visually in terms of a horizontally-oriented number line, explain why this choice of words make sense.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.8: Proof In Algebra
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I only need D,E, and F to be solved. I do not need any other solutions solved. Thank you so much!
3. Let a and b be two unequal numbers from R. A. The difference b a is not necessarily positive. Explain. B. The absolute value b - al is necessarily positive, and (assuming that b lies to the right of a on the number line) the resulting value is frequently called the width of the interval (a, b). Thinking visually in terms of a horizontally-oriented number line, explain why this choice of words makes sense. C. (Henceforth, assume blies to the right of a on the number line.) The real number is frequently called the midpoint of the interval (a, b). Thinking visually in terms of a horizontally-oriented number line, explain why this choice of words makes sense. D. The computation from part C above shows that between any two unequal real numbers is another real number different from the a+b 2 original two. Explain. 2 E. If we assume that b is greater than a, then the a+b difference b is frequently called the radius of the interval (a, b). Thinking visually in terms of a horizontally-oriented number line, explain why this choice of words make sense.
Transcribed Image Text:3. Let a and b be two unequal numbers from R. A. The difference b a is not necessarily positive. Explain. B. The absolute value b - al is necessarily positive, and (assuming that b lies to the right of a on the number line) the resulting value is frequently called the width of the interval (a, b). Thinking visually in terms of a horizontally-oriented number line, explain why this choice of words makes sense. C. (Henceforth, assume blies to the right of a on the number line.) The real number is frequently called the midpoint of the interval (a, b). Thinking visually in terms of a horizontally-oriented number line, explain why this choice of words makes sense. D. The computation from part C above shows that between any two unequal real numbers is another real number different from the a+b 2 original two. Explain. 2 E. If we assume that b is greater than a, then the a+b difference b is frequently called the radius of the interval (a, b). Thinking visually in terms of a horizontally-oriented number line, explain why this choice of words make sense.
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