Question 276705: 1. Determine the truth value of the following statement:
The Mona Lisa is a famous painting and all even numbers are divisible by 2.
True
False
2. Construct a truth table for (~p q) p
3. Fill in the heading of the following truth table using any of p, q, , , ↔, , and . Use keyboard shortcuts of --> for , <--> for ↔, V for , and ^ for .
p q _________
T T T
T F F
F T F
F F T
4. Construct a truth table for q (p ~q)
5. Given p is true, q is true, and r is false, find the truth value of the statement ~q
(p r).
Show step by step work. Use keyboard shortcuts of --> for , <--> for ↔, V for , and ^ for , if needed.
6. Determine which, if any, of the three statements are equivalent.
I) If the movie is sold out, then we will not see the movie on opening night.
II) Either the movie is not sold out or we will not see the movie on opening night.
III) Either the movie is not sold out or we will see the movie on opening night.
I and II are equivalent
I and III are equivalent
II and III are equivalent
I, II, and III are equivalent
None are equivalent
7. Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used.
Either the gazebo is made of wood or the vine is growing on the gazebo.
The gazebo is not made of wood.
The vine is growing on the gazebo.
8. Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work and submit your solution to the week 3, assignment 3 dropbox.
I) If the house is not white, then the house is not small.
II) The house is not white and the house is small.
III) It is false that the house is white or that the house is not small.
a. I, II, and III are equivalent
b. I and II are equivalent
c. II and III are equivalent
d. I and III are equivalent
e. None are equivalent
9. Create an Euler diagram to determine whether the syllogism is valid or invalid.
All football players run fast.
Matt runs fast.
Matt is a football player.
10. 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.
I caught the bus on time.
Therefore, I was not late to work.
11. Form the converse: If I do not change my car’s oil, then my car will have engine trouble. (Points :3)
If I change my car’s oil, then my car will not have engine trouble.
If my car does not have engine trouble, then I changed my car’s oil.
If my car does not have engine trouble, then I did not change my car’s oil.
If my car has engine trouble, then I did not change my car’s oil.
If my car has engine trouble, then I changed my car’s oil.
12. Write the compound statement in symbols.
Let
p = I eat too much.
q = I will feel too full.
r = I'll exercise.
If I eat too much, and don’t exercise, then I will feel too full.
(p ~r) q
(p ~r) ↔ q
(p ~r) q
p (~r q)
13. Construct a truth table for ~(q p
Answer by nyc_function(2741)   (Show Source):
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