Find the truth set of each predicate. (If your answer is an interval, enter it using interval notation; otherwise enter it using set-roster notation.) 8 (a) Predicate: is an integer, domain: Z d {1,2,4,8) 8 (b) Predicate: is an integer, domain: Z+ {1} (c) Predicate: 1 ≤ x² ≤ 4, domain: R [-2,-1] U [1,2] (d) Predicate: 1 ≤ x² ≤ 4, domain: Z {-1}
Find the truth set of each predicate. (If your answer is an interval, enter it using interval notation; otherwise enter it using set-roster notation.) 8 (a) Predicate: is an integer, domain: Z d {1,2,4,8) 8 (b) Predicate: is an integer, domain: Z+ {1} (c) Predicate: 1 ≤ x² ≤ 4, domain: R [-2,-1] U [1,2] (d) Predicate: 1 ≤ x² ≤ 4, domain: Z {-1}
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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![**Transcription: Predicate Analysis**
Find the truth set of each predicate. (If your answer is an interval, enter it using interval notation; otherwise enter it using set-roster notation.)
(a) **Predicate:** \(\frac{8}{d}\) is an integer, **Domain:** \(Z\)
Truth Set: \(\{1, 2, 4, 8\}\)
(b) **Predicate:** \(\frac{8}{d}\) is an integer, **Domain:** \(Z^+\)
Truth Set: \(\{1\}\)
(c) **Predicate:** \(1 \leq x^2 \leq 4\), **Domain:** \(R\)
Truth Set: \([-2, -1] \cup [1, 2]\)
(d) **Predicate:** \(1 \leq x^2 \leq 4\), **Domain:** \(Z\)
Truth Set: \(\{-1\}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b319816-3828-4c3a-a4b8-8b6da6d278f2%2F38293e66-b8e6-47e8-9f92-a142c6666639%2Fb6cnjvj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription: Predicate Analysis**
Find the truth set of each predicate. (If your answer is an interval, enter it using interval notation; otherwise enter it using set-roster notation.)
(a) **Predicate:** \(\frac{8}{d}\) is an integer, **Domain:** \(Z\)
Truth Set: \(\{1, 2, 4, 8\}\)
(b) **Predicate:** \(\frac{8}{d}\) is an integer, **Domain:** \(Z^+\)
Truth Set: \(\{1\}\)
(c) **Predicate:** \(1 \leq x^2 \leq 4\), **Domain:** \(R\)
Truth Set: \([-2, -1] \cup [1, 2]\)
(d) **Predicate:** \(1 \leq x^2 \leq 4\), **Domain:** \(Z\)
Truth Set: \(\{-1\}\)
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