Mrs. Sue please help!

I really need some help on these questions Please! I am having a very tough time. I have tried to answer to the best of my ability, but i am not understanding these. Can someone please help with this? Thank you.

Truth tables can be used to examine inductive arguments.
deductive arguments.
abductive arguments.
All of the above
my answer d

2. Truth tables can
display all the possible truth values involved with a set of sentences.
determine what scientific claims are true.
determine if inductive arguments are strong.
determine if inductive arguments are weak.
my answer a

3. What is the truth value of the sentence "P & ~ P"?
True
False
Cannot be determined
Not a sentence
my answer c

4. In the truth table for an invalid argument,
on at least one row, where the premises are all true, the conclusion is true.
on at least one row, where the premises are all true, the conclusion is false.
on all the rows where the premises are all true, the conclusion is true.
on most of the rows, where the premises are all true, the conclusion is true.

my answer b

5. If P is false, and Q is false, the truth-value of "P ¡êQ" is
false.
true.
Cannot be determined.
All of the above.
my answer a

6. The sentence "P ¡ê Q" is best read as

If P then Q
If Q then P
P or Q
P if and only if Q

my answer d

7. "~ P v Q" is best read as Not P and Q
It is not the case that P and it is not the case that Q
It is not the case that P or Q
It is not the case that P and Q
my answer c

8. A sentence is said to be truth-functional if and only if
the sentence might be true.
the truth-value of the sentence cannot be determined from the truth values of its components.
the truth-value of the sentence is determined always to be false.
the truth-value of the sentence can be determined from the truth values of its components.

my answer d

9. The sentence "P ¡æ Q" is read as
P or Q
P and Q
If P then Q
Q if and only P
my answer c

10. In the conditional "P ¡æQ," "P" is a
sufficient condition for Q.
sufficient condition for P.
necessary condition for P.
necessary condition for Q.

my answer b

Please let me know if these are correct.

Based on my understanding, I will explain how to get the answers for each question:

1. The question is asking which type of arguments can be examined using truth tables. To determine this, you need to know the definitions of inductive, deductive, and abductive arguments. Inductive arguments use specific examples to draw general conclusions, deductive arguments use logical reasoning to draw conclusions, and abductive arguments use inference to find the best explanation. By comparing these definitions to the given options, you will find that truth tables are used to examine deductive arguments. Therefore, the correct answer is b) deductive arguments.

2. Truth tables are used to display all the possible truth values involved with a set of sentences. This means that truth tables are not used to determine scientific claims or the strength of inductive arguments. Therefore, the correct answer is a) display all the possible truth values involved with a set of sentences.

3. "P & ~ P" represents the conjunction of statement P and the negation of statement P. In a truth table, this statement evaluates to false in all cases. Therefore, the truth value of "P & ~ P" is b) False.

4. In a truth table for an invalid argument, there will be at least one row where the premises are all true, but the conclusion is false. Therefore, the correct answer is b) on at least one row, where the premises are all true, the conclusion is false.

5. "P ¡ê Q" represents the conditional statement "If P then Q." When both P and Q are false, the conditional statement "If P then Q" is false. Therefore, the truth-value of "P ¡ê Q" is a) false.

6. The sentence "P ¡ê Q" is best read as "If P then Q." Therefore, the correct answer is a) If P then Q.

7. "~ P v Q" represents the disjunction of the negation of P and Q. It is read as "It is not the case that P or Q." Therefore, the correct answer is c) It is not the case that P or Q.

8. A sentence is said to be truth-functional if and only if its truth-value can be determined from the truth values of its components. Therefore, the correct answer is d) the truth-value of the sentence can be determined from the truth values of its components.

9. "P ¡æ Q" represents the conditional statement "If P then Q." Therefore, the correct answer is a) If P then Q.

10. In the conditional "P ¡æ Q," "P" is a necessary condition for Q. This means that Q cannot be true without P being true. Therefore, the correct answer is c) necessary condition for P.

Please note that these explanations are based on logical reasoning and the given information. It's always a good idea to reference the relevant materials or consult with a subject expert for additional clarification.