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Next, using the above predicates and quantifiers were necessary, express the following English statements in logic. (d) "Any non-zero integer divides itself" (e) "A prime number's only positive factors are 1 and itself."

Next, using the above predicates and quantifiers were necessary, express the following English statements in logic. (d) "Any non-zero integer divides itself" (e) "A prime number's only positive factors are 1 and itself."

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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2. Assuming the following predicates: L(x, y): x is strictly less than y (x<y); .E(x): x is even; • P(x): x is a prime number; EQ(x, y): x equals y (x=y); G(x): x is greater than zero (x>0); D(x, y): x divides y exactly; Next, using the above predicates and quantifiers were necessary, express the following English statements in logic. (d) "Any non-zero integer divides itself" (e) "A prime number's only positive factors are 1 and itself."
Transcribed Image Text:2. Assuming the following predicates: L(x, y): x is strictly less than y (x<y); .E(x): x is even; • P(x): x is a prime number; EQ(x, y): x equals y (x=y); G(x): x is greater than zero (x>0); D(x, y): x divides y exactly; Next, using the above predicates and quantifiers were necessary, express the following English statements in logic. (d) "Any non-zero integer divides itself" (e) "A prime number's only positive factors are 1 and itself."
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