r + s is rational. 2 18. If r and s are any two rational numbers, then

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
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Determine which of the statements in 15, 16, 17, 18, and 19 are true and which are false. Prove each true
statement directly from the definitions, and give a counterexample for each false statement. For a
statement that is false, determine whether a small change would make it true. If so, make the change and
prove the new statement. Follow the directions for writing.proofs.
Transcribed Image Text:Determine which of the statements in 15, 16, 17, 18, and 19 are true and which are false. Prove each true statement directly from the definitions, and give a counterexample for each false statement. For a statement that is false, determine whether a small change would make it true. If so, make the change and prove the new statement. Follow the directions for writing.proofs.
18. If r and s are any two rational numbers, then
r +8
is rational.
Answer +
Transcribed Image Text:18. If r and s are any two rational numbers, then r +8 is rational. Answer +
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