Math 114



Math 116

Spring 2009

Truth Table Review

Part I: For each statement, construct a truth table. Please circle your final answer.

1. [pic] 2. [pic]

3. ~ ([pic] 4. (~[pic]

5. (~q[pic] 6. [pic]

Part II: Using a truth table for each, determine whether the given statement is logically equivalent.

[pic]

Part III: Negate the given statement:

“If it snows on Friday, then we will go skiing.”

Part IV: Create a logically equivalent statement for each.

1. Mary was late to the game and didn’t get a seat.

2. If we want to go the game, then we should leave now.

Part V: Determine whether each statement is true of false (you do not need truth tables to make the determination!)

1. If 3 is a negative number, then 5 > 7.

2. If 5 > 3, then 2 + 7 = 4.

3. If Richmond is the capital of North Carolina, then Raleigh is the capital of New York.

4. If Tuesday follows Monday, then April follows March.

5. If 4 > 3, then 2 + 5 = 6.

6. If Washington is north of Miami, then Washington is north of Maine.

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