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Truth Statements and Conditionals

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18. Let p represent a statement having a truth value T, q represent a statement having a truth value F, and r represent a statement having a truth value T. Find the truth value of each of the following...
4. Determine the truth of the following conditionals...
Construct the truth tables for the statements expressed in Exercises 14 and 20...
Use truth tables to determine whether or not the pairs of statements in Exercise 10...
14. For the statement I will go to a movie, or I will go to a ball game, which of the following is equivalent to its negation? ( a) I will not go to a movie, or I will not go to a ball game. ( b) I will go to a movie, and I will not go to a ball game. ( c) I will not go to a movie, and I will not go to a ball game...
42. If U={ a, b, c, d, e, f}, ...
62. Find A B where ...
(Please help me answer the above questions in the below attachment).

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18. Let p represent a statement having a truth value T, q represent a statement having a truth value F, and r represent a statement having a truth value T. Find the truth value of each of the following:
( a) p ( ~ q)
( b) p q r
(c) p ( q r)
( d) ~( p q)
( e) (~ p) (~ q)

(a) p^ (~q) = T^(~F) = T^T = T
(b) p^q^r = T^F^T = (T^F)^T = F^T = F
(c) p^(qvr) = T^(F vT) = T^T = T
(d) ~(p^q) = ~(T^F) = ~F = T
(e) (~p)v(~q) = (~T)v(~F) = FvT = T

4. Determine the truth of the following conditionals:
( a) If 5 is larger than 10, then a penny is worth more than $ 1.00.
( b) If 1 foot ...

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