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(k) If x, y, and z are integers and xylz, then x|z and ylz.

(k) If x, y, and z are integers and xylz, then x|z and ylz.

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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Determine whether the statement is true or false. If the statement is true, give a proof. If the statement is false, give a counterexample.

**Mathematical Statement (k):** If \( x \), \( y \), and \( z \) are integers and \( xy \mid z \), then \( x \mid z \) and \( y \mid z \). This statement explores divisibility principles in mathematics, specifically touching on the conditions under which one integer is a divisor of another. There are no graphs or diagrams associated with this statement.
Transcribed Image Text:**Mathematical Statement (k):** If \( x \), \( y \), and \( z \) are integers and \( xy \mid z \), then \( x \mid z \) and \( y \mid z \). This statement explores divisibility principles in mathematics, specifically touching on the conditions under which one integer is a divisor of another. There are no graphs or diagrams associated with this statement.
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