# Finite Math Quiz Logic Indicate whether or not the following sentences are statements. 1. Players on

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Finite Math Quiz Logic Indicate whether or not the following sentences are statements. 1. Players on Red Team = Players on Blue Team • A Statement • Not a Statement 2. The amount of money available in the account is greater than the amount bill being paid. • A Statement • Not a Statement 3. Candy Crush Saga is the most addictive game. • A Statement • Not a Statement Read the following sentences. You will then be asked to define statement variables for the parts of the sentence, and then symbolically define the relationship. If Luigi is small and hits a block with a power-?up then a Super Mushroom is dispensed. 4. Define statement variables p, q and r for the sentence above. 5. Using the statement variables p, q, and r defined in #4, write the logical relationship defined above using the symbolic notation. If a valid code is entered, the user may select 1500 credits or 1 month of premium subscription. 6. Define statement variables p, q and r for the sentence above. 7. Using the statement variables p, q, and r defined in #6, write the logical relationship defined above using the symbolic notation. Determine the truth-?value of the following compound statements, based on the provided truth-?values (only one combination of truth values given). 8. The truth-?value of p is False and the truth-?value of q is False. Determine the truth-?value of the following compound statement: ~(p?q)? 9. The truth-?value of p is True and the truth-?value of q is True. Determine the truth-?value of the following compound statement: ~(p?q)?p? Finite Math Quiz -? Logic 10. The truth-?value of p is False, the truth-?value of q is True, and the truth-?value of r is True. Determine the truth-?value of the following compound statement: (~p?r) ?~q? Answer the following questions about the compound statement. The Truth Tables you use do not have to be part of your answer. 11. Construct the truth table for the compound statement ~(p?~q). How many False values are in the final answer? 12. Construct the truth table for the compound statement (p?q)?(~p?~q). How many True values are in the final answer? 13. Construct the truth table for the compound statement (p?q)?~q. How many True values are in the final answer? 14. Construct the truth table for the compound statement (p?~q)?r. How many True values are in the final answer? 15. Construct the truth table for the compound statement (p?~q)?(r?~q). How many True values are in the final answer? In each question below, identify the equivalent statements. 16. Which of the following compound statements are equivalent: a. p?q b. ~p?q c. ~q?~p 17. Which of the following compound statements are equivalent: a. p?~q b. ~p?~q c. ~(p?q) 18. Which of the following compound statements are equivalent: a. p?(q?r) b. (p?q)?(p?r) c. (p?q)?r Finite Math Quiz -? Logic Identify which of the following arguments are valid 19. Which of the following arguments is valid? a. p!r q!s (p”q) #r b. p!r q!s (p”q) #r 20. Which of the following arguments is valid? a. p!q ~ q “~ p b. p!q ~ p “~ q

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