3. Let a and b be two unequal numbers from R. A. The difference ba 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 b lies to the right of a on the number line.) The real number a+b 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.
3. Let a and b be two unequal numbers from R. A. The difference ba 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 b lies to the right of a on the number line.) The real number a+b 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![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 6 – 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 b lies 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.
a+b
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8612948-bcdc-496b-a0d4-ef3f637bada0%2Fa9c7b588-03fc-4393-b3bd-e5d1ac29e2f2%2Fxlnwhsp_processed.png&w=3840&q=75)
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 6 – 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 b lies 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.
a+b
2
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