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# answer_22 - 1.3.1(c p T T T T F F F F q T T F F T T F F r T...

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p q r A:"B and C are both lying" B:"Only one of the other two is lying" C:"At least one of us is lying" T T T F F F T T F F T T T F T F F T T F F T T T F T T F T T F T F F F T F F T F T T F F F T F T 1.3.1 (c) 1.3.4 (a) ¬p∧(q∨r) (b) (¬p∧¬q)∨(p∧r) (c) (p∧q)∨(p∧r)∨(q∧r)∨(p∧q∧r) or (p∧q)∨(p∧r)∨(q∧r) (d) [(p∧q)∨(p∧r)∨(q∧r)]∧¬(p∧q∧r) or [(p∧q∧Ør)∨(p∧r∧Øq)∨(q∧r∧Øp)] 1.3.5 (b) f∧m∧a (d) ¬f∨a 1.3.6 (b) This person is not female and age is not over 30. or This person is male who is not over 30. (d) Either this person is a female over age 30 or this person is a male with math major. 1.3.11 (c) p q p∨q ¬p∨q (p∨q)∧(¬p∨q) T T T T T T F T F F F T T T T F F F T F (e) p q r p∧q (p∧q)∨r T T T T T T T F T T T F T F T T F F F F F T T F T F T F F F F F T F T F F F F F

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1.3.12 (b) f: The staff is friendly t: they very well paid. f t ¬f ¬f∧t f∨(¬f∧t) T T F F T T F F F T F T T T T F F T F F (d) f: You play sports t: You play mahjong h: Nobody knows your name f t h f∨t
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