(1) each of the following definitions, (a) rewrite the definition using math symbols wherever possible.; (b) write the negation of the definition using math symbols wherever possible; (c) write the negation of the definition in English. (1.1) A positive integer p is a prime number if and only if p is not equal to 1 and whenever there exist positive integers whose product is p, one of these factors is 1. (1.2) The collection of sets {A1,A2, •…, An} is a partition of the set A if and only if for each pair i and j of distinct integers between 1 and n, the sets A; and A; are disjoint, and the union of the sets A1, A2, .., An is A.
(1) each of the following definitions, (a) rewrite the definition using math symbols wherever possible.; (b) write the negation of the definition using math symbols wherever possible; (c) write the negation of the definition in English. (1.1) A positive integer p is a prime number if and only if p is not equal to 1 and whenever there exist positive integers whose product is p, one of these factors is 1. (1.2) The collection of sets {A1,A2, •…, An} is a partition of the set A if and only if for each pair i and j of distinct integers between 1 and n, the sets A; and A; are disjoint, and the union of the sets A1, A2, .., An is A.
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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Transcribed Image Text:(1) each of the following definitions, (a) rewrite the definition using math symbols
wherever possible.; (b) write the negation of the definition using math symbols wherever
possible; (c) write the negation of the definition in English.
(1.1) A positive integer p is a prime number if and only if p is not equal to 1 and whenever there exist
positive integers whose product is p, one of these factors is 1.
(1.2) The collection of sets {A,, A2,·… , An} is a partition of the set A if and only if for each pair i and
j of distinct integers between 1 and n, the sets A; and A; are disjoint, and the union of the sets
A1, A2, ·.*, An is A.
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