- Whenever one has an inequality, an interesting problem is to characterize the cases of equality. Consider the reverse triangle inequality, which says that ||*| — |y|| ≤ x - y for all real numbers and y. True or false: If x and y are real numbers for which || | — |y|| = |x - y), then either x and y are both positive, or x and y are both negative, or at least one of the numbers and y is zero. True False
- Whenever one has an inequality, an interesting problem is to characterize the cases of equality. Consider the reverse triangle inequality, which says that ||*| — |y|| ≤ x - y for all real numbers and y. True or false: If x and y are real numbers for which || | — |y|| = |x - y), then either x and y are both positive, or x and y are both negative, or at least one of the numbers and y is zero. True False
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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Whenever one has an inequality, an interesting problem is to characterize the cases of equality.
Consider the reverse triangle inequality, which says that ||*| — |y|| ≤ x - y for all real numbers
and y.
True or false: If x and y are real numbers for which || | — |y|| = |x - y), then either x and y are
both positive, or x and y are both negative, or at least one of the numbers and y is zero.
True
False
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