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Prove or disprove: If a I (b + c), then either a I b or a I c.

Prove or disprove: If a I (b + c), then either a I b or a I 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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 Prove or disprove: If a I (b + c), then either a I b or a I c.

Expert Solution
Step 1

Let us consider the following values

            a = 5, 

            b = 3,

            c = 7.

 

Then, 

       b + c = 3 + 7

                 = 10

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