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Logic and Proof

Logic and Proof

Conditional Statements Exercises

Example 1

"All cats are cute" into pq form.

Example 2

"iPods are mp3 players" into pq form.

Example 3

What is the converse of the statement "I cry whenever I watch P.S. I Love You"?

Example 4

What is the inverse of the statement, "If it is a high school, then it is a learning institution"?

Example 5

What is the contrapositive of the statement "All statements have contrapositives"?

Example 6

"Peanut butter and jelly sandwiches contain jelly." Is the converse of the statement true or false? Is the inverse of the statement true or false? Is the contrapositive true or false?