Suppose that the universal set for all variables is Z, and let P(a, b, c) be the predicate a^2 = |b − c|. Note: |b − c| is referring to the absolute value of b − c. (a) Provide an example of values for a, b and c for which P(a, b, c) is true and for which b < a < c. (b) Provide an example of values for r, s and t for which P(r, s, t) is true and for which r < 0, s < 0, t < 0. (c) Provide an integer n such that P(n, n, n) is true. (d) Provide an integer x such that P(x, x + 9, x + 18) is true.
Suppose that the universal set for all variables is Z, and let P(a, b, c) be the predicate a^2 = |b − c|. Note: |b − c| is referring to the absolute value of b − c. (a) Provide an example of values for a, b and c for which P(a, b, c) is true and for which b < a < c. (b) Provide an example of values for r, s and t for which P(r, s, t) is true and for which r < 0, s < 0, t < 0. (c) Provide an integer n such that P(n, n, n) is true. (d) Provide an integer x such that P(x, x + 9, x + 18) is true.
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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Suppose that the universal set for all variables is Z, and let P(a, b, c) be
the predicate a^2 = |b − c|.
Note: |b − c| is referring to the absolute value of b − c.
(a) Provide an example of values for a, b and c for which P(a, b, c) is true and for which b < a < c.
(b) Provide an example of values for r, s and t for which P(r, s, t) is true and for which r < 0, s < 0, t < 0.
(c) Provide an integer n such that P(n, n, n) is true.
(d) Provide an integer x such that P(x, x + 9, x + 18) is true.
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