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Exercise 6 (Chapter Review)

Avg difficulty 2.5

Consider the statement: for all integers nn, if nn is even and n≤7n \le 7 then nn is negative or n∈{0,2,4,6}n \in \{0,2,4,6\}.

  1. Is the statement true? Explain why.

  2. Write the negation of the statement. Is it true? Explain.

  3. State the contrapositive of the statement. Is it true? Explain.

  4. State the converse of the statement. Is it true? Explain.

Levin, Discrete Mathematics: An Open Introduction (3rd ed.), §4.3 Chapter Summary, Chapter Review, Exercise 6

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Adapted from Discrete Mathematics: An Open Introduction © 2013–2019 Oscar Levin. Licensed under CC BY-SA 4.0. Source: Discrete Mathematics: An Open Introduction. Imported at revision 1e2e26b.