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Exercise 6

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.

Hammond, Discrete Math for Shockers, §2.6 Chapter Review, Exercise 6

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Adapted from Discrete Math for Shockers © 2021 John Hammond. Licensed under CC BY-SA 4.0. Source: Discrete Math for Shockers. Imported at revision 2538beb.