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T T T F F F If ab = 0 (mod 5), then a = 0 (mod 5) or b = 0 (mod 5). If ab = 0 (mod 10), then a = 0 (mod 10) or b = 0 (mod 10). If 22 a and 6]a, then 132 a.

T T T F F F If ab = 0 (mod 5), then a = 0 (mod 5) or b = 0 (mod 5). If ab = 0 (mod 10), then a = 0 (mod 10) or b = 0 (mod 10). If 22 a and 6]a, then 132 a.

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 36E
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T F TF T F T F T F T F T F T T T T F F F F If ab = 0 (mod 5), then a = 0 (mod 5) or b = 0 (mod 5). If ab = 0 (mod 10), then a = 0 (mod 10) or b = 0 (mod 10). If 22|a and 6|a, then 132|a. The negative irrationals are closed under addition. The negative rational numbers are closed under division. Let A and B be sets then for all x, x € A --> x € B if, and only if AC B Let A and B be sets then for all x, x ‡ A --> x ‡ B if, and only if A ¢ B Let A and B be sets then A ‡ B if, and only if A ¢ B and B ¢ A. For sets A, B, and C, if A U B = AU C, then B = C. For sets A, B, and C, AU (BNC) = (AUB) N (AUC). If 4|710⁰0 then 4|71⁰01
Transcribed Image Text:T F TF T F T F T F T F T F T T T T F F F F If ab = 0 (mod 5), then a = 0 (mod 5) or b = 0 (mod 5). If ab = 0 (mod 10), then a = 0 (mod 10) or b = 0 (mod 10). If 22|a and 6|a, then 132|a. The negative irrationals are closed under addition. The negative rational numbers are closed under division. Let A and B be sets then for all x, x € A --> x € B if, and only if AC B Let A and B be sets then for all x, x ‡ A --> x ‡ B if, and only if A ¢ B Let A and B be sets then A ‡ B if, and only if A ¢ B and B ¢ A. For sets A, B, and C, if A U B = AU C, then B = C. For sets A, B, and C, AU (BNC) = (AUB) N (AUC). If 4|710⁰0 then 4|71⁰01
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