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For the statement, determine whether the
Chapter 4, Problem 28E(choose chapter or problem)
QUESTION: For each statement in 19–31, determine whether the statement is true or false. Prove the statement directly from the definitions if it is true, and give a counterexample if it is false.For all integers a, b, and c, if a | bc then a | b or a | c.
Questions & Answers
QUESTION: For each statement in 19–31, determine whether the statement is true or false. Prove the statement directly from the definitions if it is true, and give a counterexample if it is false.For all integers a, b, and c, if a | bc then a | b or a | c.
ANSWER:SolutionStep 1:Here we have to determine whether the statement is true or false.