Text Ass 33

course Mth 151

Text Assign. 3.3

Your work has been received. Please scroll through the document to see any inserted notes (inserted at the appropriate place in the document, in boldface) and a note at the end. The note at the end of the file will confirm that the file has been reviewed; be sure to read that note. If there is no note at the end, notify the instructor through the Submit Work form, and include the date of the posting to your access page.

3) If it is Lorri Morgan then she will visit Hawaii every summer

5) If it is a picture then it tells a story

6) If they are marines then they love boot camp

9) If he is running bear then he loves Little White Dove

10) If it cannot have self command then it is an opium-eater

The statement is of the for 'a p is a q', which is translated as 'if p then q'. Your translation would be 'if q then p', which does not correspond to the original statement.

12) true

15) false

18) true

20) because the statement is telling us that if and then. We have to believe that

then only way for 'if p then q' to be false if for p to be true and q false. In this case p is false, so the statement does not fit the criterion for a false statement. We conclude that the statement is therefore true.

Any time p is false, the statement 'if p then q' is true.

21) true

24) true

25) true

27) if they don? raise monkeys, then he trains ponies

30) if she has a snake and he trains ponies, then they raise monkeys

33) r->b

35) ?( b->r)

36) p -> - r

39) ?r -> b

40) p -> r

42) true

45) true

48) true

50) true

51) true

54) -p -> r ^ -q -> r

55) TTTF

57) TTFT

60) TTTF

this one is a tautology and is never false

63) TTTTTTFT

65) TTTTTTTTTTTTTTFT

For this statement to be false p and q would both have to be false, s true and r false. If that's the meaning of your string of truth values, then you are correct.

the above are not well-defined truth tables, which would include headings and rows for every possible set of truth values.

66) 1

69) p ^ - q

70) if you say I do then you won? be happy the rest of your life

72) if not loving you is wrong the I don? want to be right

Neither of your answers on #70 and #72 is correct. An if-then statement is equivalent to an 'or' statement (p -> q means `p v q), which is then negated by an 'and' statement (the negation of ~p v q is p ^ ~q).

75) she doesn? or he will

78) at one time, women were girls

the statement has to be translated to an if-then statement, which then translates to a disjunction (see my preceding note)

80) not =

81) =

84) =

85) not =

87) simplifies to p

90) simplifies to p ^ q or q

93) on paper

95) on paper

96) on paper

99) on paper

100) on paper