Concept explainers
Determine which of the statements in 15—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 on page 173.
H 19. For all real numbers a and b, if
(You may use the properties of inequalities in
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Discrete Mathematics With Applications
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