Due Monday, 9/18:
- Write a truth table for the proposition:
- Prove that .
- Suppose p is “The shape S is a square” and q is “The shape S is a rectangle” Translate the following statements to English, and determine which of these statements are true:
- Write the converse, inverse, and contrapositive of the following conditional statement: “If the length of the side of a square is 5 inches, then the area of the square is 25 square inches.” Determine which of these conditional statements (the original, converse, inverse, and contrapositive) are true.
- (This one may take some time to think about, so get started ASAP!) Prove by induction: the sum of the first n positive integers is (n)(n+1)/2.