Math 125 Quiz 1B, 1C Quiz
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This document contains a quiz on mathematical logic and set theory, covering topics such as truth tables and Venn diagrams. Questions include determining truth values for logical statements and using Venn diagrams to represent relationships between sets.
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Suppose the statement pvq is true. Which of the following must be true?\ a. p is true\ b. q is true\ c. one or both of the above statements are true. Suppose p is true and q is false. Which of the following is false?\ a. p\^q\ b. pvq\ c. qp Consider the statement "If the polar ice caps melt, then...
Suppose the statement pvq is true. Which of the following must be true?\ a. p is true\ b. q is true\ c. one or both of the above statements are true. Suppose p is true and q is false. Which of the following is false?\ a. p\^q\ b. pvq\ c. qp Consider the statement "If the polar ice caps melt, then the oceans will rise." This statement is logically equivalent to which of the following?\ a. If the oceans rise, then the polar ice caps melted.\ b. If the polar ice caps did not melt, then the oceans will not rise.\ c. If the oceans did not rise, then the polar ice caps did not melt. Complete the truth table for \~(p\^q)vq p q \~(p\^q) \~(p\^q)vq --- --- -- ---------- ------------ T T T F F T F F 5. Complete the truth table for pv(qp) p q qp pv(qp) --- --- ---- -------- T T T F F T F F 6. Suppose A represents represents the set of all whales and B represents the set of all cows. The correct Venn Diagram for the relationship between these sets is:\ 7. Suppose A represents represents the set of all shirts and B represents the set of all clothing. The correct Venn Diagram for the relationship between these sets is:\  8.
