MAth-valid or invalid

[needhelpasap1]

I need some help with these:

1 Determine if the argument is valid or invalid.
If it's Tuesday, then this must be Paris.
Today is Wednesday.
This must not be Paris

A- Invalid by fallacy of the inverse
B-Valid by the law of syllogism
C- Invalid by fallacy of the converse
D-Valid by the law of contraposition
I think the answer is c due to is is invalid by converse
2- Use DeMorgan's laws if necessary.
If x = 4, then x2 = 16.
Converse

If x 4, then x2 16.
If x = 4, then x2 = 16.
If x2 = 16, then x = 4.
If x2 16, then x 4
I think this is c as well due to converse is opposite.
Any help I would appericate so much

 

[pka]

How about you telling us what you think is the correct answer.
We can say yes it is. If is not, we can give help from that point on.

 

[needhelpasap1]

How about you telling us what you think is the correct answer.
We can say yes it is. If is not, we can give help from that point on.

I expanded on my orginal post thank you so much for responding. I am having terribale anxiety with taking this math course.

 

[pka]

\(\displaystyle \text{Statement: If P then Q. }P \Rightarrow Q\)
\(\displaystyle \text{Inverse: If not P then not Q. }\sim P \Rightarrow \sim Q\)
\(\displaystyle \text{Converse: If Q then P. }Q \Rightarrow P\)
\(\displaystyle \text{Contrapositive: If not Q then not P. }\sim Q \Rightarrow \sim P\)

Which of those is “If it is Wednesday then in is not Parris”?

 

[needhelpasap1]

\(\displaystyle \text{Statement: If P then Q. }P \Rightarrow Q\)
\(\displaystyle \text{Inverse: If not P then not Q. }\sim P \Rightarrow \sim Q\)
\(\displaystyle \text{Converse: If Q then P. }Q \Rightarrow P\)
\(\displaystyle \text{Contrapositive: If not Q then not P. }\sim Q \Rightarrow \sim P\)

Which of those is “If it is Wednesday then in is not Parris”?

Inverse?

 

[pka]

Yes, inverse is correct.

Now \(\displaystyle x = 4\quad \Rightarrow \quad x^2 = 16\) is a TRUE sentence.

But is \(\displaystyle x^2 = 4\quad \Rightarrow \quad x = 2\) a true sentence?
Think \(\displaystyle x = - 2\)

 

[needhelpasap1]

Yes, inverse is correct.

Now \(\displaystyle x = 4\quad \Rightarrow \quad x^2 = 16\) is a TRUE sentence.

But is \(\displaystyle x^2 = 4\quad \Rightarrow \quad x = 2\) a true sentence?
Think \(\displaystyle x = - 2\)

Can you please exaplin to me the difference between inverse and converse? I may have intially got it wrong.

 

[stapel]

Can you please exaplin to me the difference between inverse and converse? I may have intially got it wrong.

The definitions of each were provided (above). What is your understanding of these terms? (We've already said what we mean. If you're confused, then we need to hear what you mean.)

Please be specific; examples would be helpful. Thank you!

Eliz.

 

[pka]

\(\displaystyle \text{Statement: If P then Q. }P \Rightarrow Q\)
\(\displaystyle \text{Inverse: If not P then not Q. }\sim P \Rightarrow \sim Q\)
\(\displaystyle \text{Converse: If Q then P. }Q \Rightarrow P\)

Statement: If x is a dog then x has four legs.
Inverse: If x is not a dog then x does not have four legs.
Converse: If x has four legs then x is a dog.

 

[needhelpasap1]

\(\displaystyle \text{Statement: If P then Q. }P \Rightarrow Q\)
\(\displaystyle \text{Inverse: If not P then not Q. }\sim P \Rightarrow \sim Q\)
\(\displaystyle \text{Converse: If Q then P. }Q \Rightarrow P\)

Statement: If x is a dog then x has four legs.
Inverse: If x is not a dog then x does not have four legs.
Converse: If x has four legs then x is a dog.

thank you fro making it simple . I look inthe book and try interhange with the words. thanks for helping and not being harsh in your response.I really appericate it .. This math anxiety is rought.Thanks again for your patience and easeof making me understand.