1) Which of the statements cannot possibly be true? a) ¬p ∧ q b) ¬p ∧ ¬q c) p ∧ q d) p ∧ ¬q 2) Find the negation. [ p: 3 is an odd number ] a) ¬p: 3 is not an odd number b) ¬p: 2 is not an odd number c) ¬p: 3 is not an even number d) ¬p: 3 is an odd number 3) Find the negation. [ p: z is greater than 100 ] a) ¬p: z is not less than 100 b) ¬p: z is less than 100 c) ¬p: z is greater than or equal to 100 d) ¬p: z is less than or equal to 100 4) Express the compound statement p ∧ ¬q in words. a) China is in Africa or Rwanda is not in Asia. b) China is in Africa and Rwanda is not in Asia c) China is not in Africa or Rwanda is in Asia d) China is not in Africa and Rwanda is not in Asia. 5) Classify the compound statement. a) Conjuction b) Disjunction 6) What is the symbolic notation for the compound statement? a) p ∧ q b) p ∨ q c) p ∨ ¬q d) ¬p ∨ ¬q 7) Express the compound statement p ∨ ¬q in words. a) Matthew arrives home before 6:00, or Anna does not cook dinner. b) Matthew arrives home before 6:00, and Anna does not cook dinner. c) Matthew arrives home before 6:00, or Anna cooks dinner. d) If Matthew arrives home before 6:00, then Anna does not cook dinner. 8) Express the compound statement ¬p ⊻ q in words. a) x is not an even number, or x is divisible by 3. b) x is not an even number, and x is divisible by 3. c) x is an even number, or x is divisible by 3. d) x is even number, and x is not divisible by 3.

compound statement

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