math 302 exam 2 (Updated with correct answers)

Modus Ponens correct answers If P then Q P Therefore Q EXAMPLE: Today is Friday We have class on Friday Therefore we have class today Modus Tollens correct answers If P then Q Not Q Therefore not P EXAMPLE: We do not have class today We have class on fridays Therefore today is not friday Hypothetical syllogism correct answers if p then q if q then r therefore if p then r EXAMPLE: "We have class on friday" "when we have class we go to the math building" Therefore on friday we go to the math building Disjunctive syllogism correct answers P or Q Not P Therefore Q EXAMPLE: We have class or we sleep in we did not sleep in therefore we have class Addition correct answers If P Then P and Q must be true EXAMPLE: We have class today therefore we have class today or we sleep in today Simplification correct answers If A and B