1 - JustAnswer
1. Write a negation of the statement.
No fifth graders play soccer.
(Points: 3)
[pic]Some fifth graders play soccer.
2. Let p, q, and r be the following statements:
p: Jamie is on the train.
q: Sylvia is at the park.
r: Nigel is in the car.
Translate the following statement into English: (~p V q) ( r
If either Jamie is not on the train or Sylvia is at the part, then Nigel is in the car.
(Points: 3)
3. Construct a truth table for ~q V ~p and submit it to the week 3, assignment 2 drop box.
[pic]
(Points: 6)
4. Construct a truth table for (p V~q) ↔ p and submit it to the week 3, assignment 2 drop box.
I’m assuming that strange symbol is an arrow.
[pic]
(Points: 6)
5. Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols.
Jim does not play football and Michael plays basketball.
(Points: 3)
[pic]~p ^ q
6. Convert the compound statement into words.
p = The food tastes delicious.
q = We eat a lot.
p v ~q
(Points: 3)
[pic]The food tastes delicious or we don’t eat a lot.
7. Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement.
(~p ^ ~q)V r
(Points: 3)
[pic]
the forth row is false
[pic]False
8. Determine which, if any, of the three statements are equivalent.
I) If there are cats in the yard, then there are no birds in the trees.
II) Either there are no cats in the yard or there are no birds in the trees.
III) If are no birds in the trees, then there are no cats in the yard.
(Points: 3)
P = cats in the yard
Q = birds in the trees
I) P → ~Q
II) ~P v ~Q
III) ~Q → ~P
|P |Q |I |II |III |
|T |T |F |F |T |
|T |F |T |T |F |
|F |T |T |T |T |
|F |F |T |T |T |
[pic]I and II are equivalent
9. Given the argument and its Euler diagram below, determine whether the syllogism is valid or invalid. Image uploaded
[pic]
(Points: 3)
Don is not in the studying circle.
[pic]Valid
10. Identify which argument is invalid. (Points: 3)
[pic]
|If I sing in the shower, then I will not be overheard while singing. |
|I did not sing in the shower. |
|Therefore, I was overheard while singing. |
11. Write the statement in symbols using the p and q given below. Then construct a truth table for the symbolic statement and select the best match.
p = The mouse is in the house
q = The cat is hungry.
If the mouse is not in the house, then the cat is hungry. (Points: 3)
[pic]~p(q
|p |q |~p |~p [pic]q |
|T |T |F |T |
|T |F |F |T |
|F |T |T |T |
|F |F |T |F |
12. Determine if the argument is valid or invalid. Give a reason to justify answer.
If the bell rings, then we answer the door.
The bell rings.
[pic]We answer the door.
(Points: 3)
[pic]Valid by the law of syllogism
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