Let m, n be two integers. For each of the statements below, decide if it is TRUE or FALSE: (a) If 9|mn, then 9|m or 9|n. [ Select ] (b) If 19|mn, then 19 m or 19|n. [Select ] (c) If 19 mn, then 19|m and 19|n. ( Select] [ Select ]

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 25E: Let ,, and be integers. Prove or disprove that implies or .
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Let m, n be two integers. For each of the statements below, decide if it is TRUE or FALSE:
(a) If 9|mn, then 9|m or 9|n. [ Select]
(b) If 19|mn, then 19|m or 19|n. [ Select]
(c) If 19|mn, then 19|m and 19|n. [ Select ]
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Transcribed Image Text:Let m, n be two integers. For each of the statements below, decide if it is TRUE or FALSE: (a) If 9|mn, then 9|m or 9|n. [ Select] (b) If 19|mn, then 19|m or 19|n. [ Select] (c) If 19|mn, then 19|m and 19|n. [ Select ] > >
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