Questions on Logic: Propositions, Conjunction, Disjunction, Implication answered by real tutors!

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Question 203549: please help
) Determine which, if any, of the three statements are equivalent.
a) If today is Monday, then tomorrow is Tuesday.
b) If today is not Monday, then tomorrow is not Tuesday.
c) If tomorrow is not Tuesday, then today is not Monday

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Question 232782: please help me slove this question .

Construct a truth table for each compound statement.

1-q ∨ (p ∧ ∼q)


2- ∼q ∧ (∼ p ∨ ∼q)

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Question 230567: help me slove this question . this is from california geomenrty book .

1.3.6.10.15 ...... what is the next pattern ? how did you slove it ?

please help me
thank you in advance

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Question 230059: (PvQ)&(PvR) = Pv(Q&R)
cannot figure this out for the life of me

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Question 219061: What is an example for each of the laws of logic?
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Question 207907: I am lost on truth tables, can you please help?

Construct a truth table for ~q -->(~q ^ p)

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Question 202733: Rewrite ~ (p  ~q) using DeMorgan's laws
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Question 201378: I have been mulling over this problem for quite some time, and I think I have it right but I just need someone to look at it and confirm for me.
Here is the statement that I am presented with:
"If Verizon Wireless must remove installed equipment from a vehicle or fixed location in order to return it, then you will be charged a service fee."
My assignment requires me to put this in symbolic form and then create a truth table for it. Here is what I got.
p: Verizon Wireless must remove installed equipment from a vehicle
q: Verizon Wireless must remove installed equipment from a fixed location
r: You will be charged a service fee
In symbolic form: (p v q) --> r
and the truth table (in a weird format because of the text box, sorry):
p: T T T T F F F F
q: T T F F T T F F
r: T F T F T F T F
(p v q): T T T T T T F F
(p v q) -> r: T F T F T F T F
Any insight you can provide is much appreciated. Thank you in advance.

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Question 201262: TWO PIPES FILL UP A TANK IN 9 3/8 HRS(75/8) . IF TWO PIPE RUN SEPARATELY THE LARGER DIA TAKES 10HRS LESS THAN THE SMALLER DIA PIPE TO FILL THE TANK INDIVIDUALLY . fIND THE NO OF HRS TAKE INDIVIDUAL TO FILL THE TANK ...
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Question 199138: x=-2/3y+1
solve for Y
find the x-intercept, y intercept and slope

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Question 199138: x=-2/3y+1
solve for Y
find the x-intercept, y intercept and slope

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Question 199065: Someone please help me with is problem .

1.Let p, q, and r be the following statements:
p: Mary is on the bus.
q: April is in the car.
r: Stan is at the zoo.
Translate the following statement into English: (p v ~ r) -> ~q

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Question 199067: I work on this problem and I'm still having trouble I need your assistant please help. thank you
1.Write the converse, inverse, and contrapositive of the following conditional statement
If the sun is shining, then it will not rain.

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Question 193028: I am the worst when it comes to truth tables. Please help me figure this one out. It is a homework question.
4.(4 pts) Construct a truth table for ~(p ^ q)

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Question 193125: Here is another question I am not familiar with. It is for an assignment due Saturday, 3:00 am mountain time. Will someone help me. I have absolutely no clue to this question.
Determine the truth value of the statement ~q <-> [~r v (p ^q)] when p is false, q is true, and r is true.

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Question 193126: We are studying chapter 3 in survey of math w/apps, but this question is not in the book. It is one assigned for homework. Since I have been ill I have not been able to study a lot. Can someone please help me by 3:00 am tonight? Here is the question:
Determine whether the argument is valid or invalid.
A tree has green leaves and the tree produces oxygen.
This tree has green leaves.
-----------------------------------------------------
∴This tree produces oxygen.

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Question 193124: I have had the flu for a week and I am behind in class. Can someone please help me. This question is for an assignment. I am lost here. I am suppose to have it in by 3:00 am mountain time. PLEASE Help!
Would you please construct a truth table for the following: ~(p ^ q).

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Question 193034: My sister referred me here for your help with this logic question I missed. Please help.
11.(4 pts) Determine which, if any, of the three statements are equivalent.
a) If today is Monday, then tomorrow is Tuesday.
b) If today is not Monday, then tomorrow is not Tuesday.
c) If tomorrow is not Tuesday, then today is not Monday.

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Question 193033: What is DeMorgan's Laws and how is it used to determine whether these two statements are equivalent. Here's the question from my instructor:
Use DeMorgan's Laws to determine whether the two statements are equivalent:
~(p^q), ~p ^ ~q. Please, someone help me! Thank you...

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Question 193032: This ditzy blonde can't figure this stuff out. Please help me! It is not from the text book.
9.(3 pts) Determine the truth value of the following statement:
Rembrandt was a famous painter and all prime numbers are odd.

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Question 192807: Write in symbolic form using p,q,r,~,->,v,^, where p,q,r represent the following statements.
p: A dog is friendly
q: A dog has a tail
r: A dog licks faces
a. If a dog has a tail, then it is not friendly
b. If a dog is not friendly, then it does not lick faces.
c. If a dog has a long tail, then either the dog is friendly or the dog lick faces.
d. If a dog licks faces, then the dog is friendly and the dog has a long tail.

For question a I got q->~p
b: ~p->~r
c:

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Question 192743: We are using the Survey of Mathematics text but it is very confusing. I am not sure what the instructor is requiring. Please help!
Fill the headings of the following truth tables using: p,q,~,-->,v and ^.
(B)
p q (b)
T T F
T F T
F T T
F F T
(A)
p q (a)
T T F
T F T
F T F
F F F
(somehow when I cut and pasted they reversed position.) I got p^~q for (a) table. I am unable to figure out the (B) table. Am I correct for (A)?

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Question 192750: I am not the brightest crayon in the box when it comes to algebra, but this stuff is horrific!. Please help me. It is for homework...
6. (a) Translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.
If it is raining, then we will close the window.
We closed the window.
----------------------------------------------------------------------
∴ It is raining.
It appears to be a valid statement to me. I just can not translate into symbolic form.

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Question 192750: I am not the brightest crayon in the box when it comes to algebra, but this stuff is horrific!. Please help me. It is for homework...
6. (a) Translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.
If it is raining, then we will close the window.
We closed the window.
----------------------------------------------------------------------
∴ It is raining.
It appears to be a valid statement to me. I just can not translate into symbolic form.

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Question 192745: There are several of us in algebra II having a difficult time with Truth Tables. Can someone help us please? The question is not from the text. Here it is:
Construct a truth table for ~q-->(~q^p). Please Help!

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Question 192768: Construct a truth table for ~q->(~q^p).
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Question 192768: Construct a truth table for ~q->(~q^p).
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Question 192771: For each of the following conditionals, identify the antecedent an the consequent. Form the converse,inverse,and contrapositive.
a. If I go to work, then i will get paid.
b. Your yard will not look good if you dont mow the grass

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Question 192749: Here is the 2nd question I mentioned. It is from an homework assignment. We are studying the text Survey of Mathematics w/Applications. I just can't seem to follow the logic of these questions. Pleae help!
Here is the question:
5.(2 pts) Rewrite ~ (p v ~q) using DeMorgan's laws.

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Question 185877: Write the following compound statement in symbolic form
Let p: Today is Monday
q: Tomorrow is the day Sara leaves
If tomorrow is not the day Sara leaves, then today is Monday

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Question 185765This question is from textbook A Survey of Mathematics with Application
: I am actually getting myself confused here: Please Help!
a.) If today is Monday, then tomorrow is not Wednesday.
b.) If it is false that today is Monday and tomorrow is not Wednesday
c.) Today is not Monday or tomorrow is Wednesday.
I personally would say that A & B are equivalent, but the more I read over it and convince myself that A & B are equivalent, the more I confuse myself. Can you please help me determine which statements are equivalent. Thanks A million everyone
This question is from textbook A Survey of Mathematics with Application

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Question 185647This question is from textbook A Survey of Mathematics with Application
: Construct a truth table for (~q^p) -> ~q

Can you please assist me wit this, i don't even know where to start.
This question is from textbook A Survey of Mathematics with Application

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Question 185356This question is from textbook A Survey of Mathematics with Application
: Let p, q, and r be the following statements:
p: Roses are red
q: The sky is blue
r: The grass is green
Translate the following statements into English
(a) p ^ q (b) p ^ (q v r) (c)q -> (p ^r) (d) ( ~ r ^ ~ q) -> ~ p
This question is from textbook A Survey of Mathematics with Application

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Question 185357This question is from textbook A Survey of Mathematics with Application
: Fill the headings of the following truth table using p, q, ~, ->, v, and ^.
p q (a) (b)
______________________________
T T T F
T F T F
F T T F
F F F T
This question is from textbook A Survey of Mathematics with Application

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Question 184165: write the converse, inverse and, contrapositive of the folowing. If we have a rock concert, someone will faint.

I have no Ideas about this can you help please

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Question 179406: what is a real life example of a tautology?
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Question 167024: It is w or D
It is D
Conclusion equals W or ~W?

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Question 151900: (1)proof that the contrapositive of the statement is logically equivalant to the statement.
(2)Proof also that the converse statement is logically equivalant to the inverse of the statement.

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Question 148844This question is from textbook A Survey of Mathematics with Applications
: Can someone please help me?

5 pts) Determine whether the argument is valid or invalid.

A tree has green leaves or the tree does not produce oxygen.
This tree has green leaves
------------------------------------------------------------------------
 This tree does not produce oxygen.
.
the square has actually. . this symbol
This question is from textbook A Survey of Mathematics with Applications

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Question 148842This question is from textbook A Survey of Mathematics with Applications
: Can you please help me?
10. (3 pts) Use De Morgan’s Laws to determine whether the two statements are equivalent
NOT (p AND q), NOT (q Or NOTp)

you understand what im saying right?
This question is from textbook A Survey of Mathematics with Applications

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Question 148838This question is from textbook A Survey of Mathematics with Applications
: Can someone please help me?

4. (4 pts) Construct a truth table for  (p  q)
Its the squiggle symbol meaning NOT(p v q)
This question is from textbook A Survey of Mathematics with Applications

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Question 148796This question is from textbook a survey of mathematics with applications
: Can I please get some help with this.

4 pts) For each of the following conditionals, identify the antecedent and the consequent. Form the converse, inverse, and contrapositive.
(a) If I don’t go to the movie, I’ll study my math.
(b) Your car won’t start if you don’t have gasoline in the tank.
This question is from textbook a survey of mathematics with applications

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Question 148558: a) Translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.
If Lillian passes the bar exam, then she will practice law.
Lillian will not practice law
----------------------------------------------------------------------
 Lillian did not pass the bar exam

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Question 144083This question is from textbook
: Need help again-thx
Write the converse, inverse, and contrapositive of the following conditional statement
If a dog is barking, then it will not bite
This question is from textbook

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Question 144084This question is from textbook
: Can you help me
Use Euler Diagrams to determine whether the following syllogism is valid or invalid.
Some senators are conservationists
No conservationists are pro-development
--------------------------------------------------
 Some senators are not pro-development
This question is from textbook

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