# Logic and Proof

### Example 1

"All cats are cute" into *p* → *q* form.

### Example 2

"iPods are mp3 players" into *p* → *q* form.

### 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?