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# Truth Tables

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** Please see the attached document for the complete solution response **

1) Construct a truth table for (~p V ~q) → p

2) Construct a truth table for ~q → (p ^ q)

3) Given p is true, q is true, and r is false, find the truth value of the statement ~p → (~q V r).
Show step by step work.

4) If the argument below is valid, name which of the four valid forms of argument is represented. If it is not valid, name the fallacy that is represented.

If I catch the bus on time, then I am not late to work.
If I am not late to work, then I will get a raise.
Therefore, if I catch the bus on time, then I will get a raise.

5) Given A = {1, 3, 5, 7}, B = {2, 3, 5}, and C = {3, 4, 5, 6}. Evaluate each set
a) A ∩ B
b) A U C
c) B U C

d) (A U B) ∩ C
e) A U (B U C)
f) (A ∩ B) ∩ C
g) (A ∩ B) U C

https://brainmass.com/philosophy/fallacies/truth-tables-problem-sets-404093

#### Solution Preview

** Please see the attached file for the complete solution response **

1) Construct a truth table for (~p V ~q) → p

P
Q
̃P
̃Q
(~p V ~q)
(~p V ~q) → p
T
T
F
F
F
T
T
F
F
T
T
T
F
T
T
F
T
F
F
F
T
T
T
F

2) Construct a truth table for ~q → (p ^ ...

#### Solution Summary

This solution demonstrates how to produce truth tables for the given problems. The solution also includes the answers to several other questions of logic.

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