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Using Discrete Mathematics and language. 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. H 26. For all integers a, b, and c, if ab | c then a cand b|c.

Using Discrete Mathematics and language. 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. H 26. For all integers a, b, and c, if ab | c then a cand b|c.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Using Discrete Mathematics and language.

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.

**Using Discrete Mathematics and Language** 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. **H 26.** For all integers \(a\), \(b\), and \(c\), if \(ab \mid c\) then \(a \mid c\) and \(b \mid c\).
Transcribed Image Text:**Using Discrete Mathematics and Language** 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. **H 26.** For all integers \(a\), \(b\), and \(c\), if \(ab \mid c\) then \(a \mid c\) and \(b \mid c\).
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Step 1: Determine the given information

The given statement, " For all integers a comma space b comma and c, if a b vertical line c then a vertical line c and b vertical line c.

The aim is to check whether the statement is true or false.

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