Exercise 6.

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

  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.

Solution.
in-context