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

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Question 628777: Construct a truth table for the statement
~p->~q


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Question 629287: Construct a truth table for ~q ^ p
Click here to see answer by jim_thompson5910(35256) About Me 

Question 627978: 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 F
T F F
F T F
F F T

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Question 630384: determine which if any of the three statements are equivalent. give a reason for your conclusion, and show complete work.
i)if the dog wags its tail, then the dog is not calm.
ii)either the dog does not wag its tail or the dog is not calm
iii) if the dog is not calm, then the dog wags its tail.
thank you for your help.

Click here to see answer by richwmiller(17219) About Me 

Question 640720: write a truth table for (p ∨ ∼q)∧ r
Click here to see answer by jim_thompson5910(35256) About Me 

Question 655143: construct a truth table for ~(p v q)↔ (~p ^ ~q)

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Question 667290: Construct a truth table for the statement.
∼(∼p ∨ ∼q)

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Question 668232: Construct a truth table for
~(P V ~Q)

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Question 668226: Construct a truth table for
q Λ ~p

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Question 668231: Construct a truth table for
(p Λ q)↔ ~p

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Question 668296: what is disjuction when x=4 and x<6?
what is disjuction when x>-3 and x<2?
What is conjuctin when x<-4 and x>5?

Click here to see answer by MathLover1(20849) About Me 

Question 668584: well i think this is the topicccc .. well my topic is on true statements and writing the converse inverse and contrapositive .. MY QUESTION says : GIVEN THE TRUE STATEMENT : "(T) IS A MULTIPLE OF 3 " (S) AND " (T) IS EVEN" .. WHAT COULD BE A VALUE OF (T) ???
CAN I GET SOME HELP PLEASE <3

Click here to see answer by swincher4391(1107) About Me 

Question 669148: Given p is true, q is true, and r is false, find the truth value of the statement
~q → ( p V r )

Click here to see answer by Theo(13342) About Me 

Question 669288: Given p is true, q is true, and r is false, find the truth value of the statement. Please show me step by step in a manner that I can understand please.

~q → ( p V r )

Click here to see answer by solver91311(24713) About Me 

Question 672773: What would be the converse, inverse and contrapostiive in the statement "If its summer, then its warm."
Click here to see answer by radh(108) About Me 

Question 674749: I am having a hard time learning the rules of replacement. Can you help me solve this equation?
1) If I then S
2) If D, then not S
The conclusion is not D or not I

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Question 681470: 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 Dropbox.
I) If the cat does not have claws, then the cat cannot scratch the furniture.
II) If the cat can scratch the furniture, then the cat has claws.
III) If the cat has claws, then the cat can scratch the furniture.
a. I and II are equivalent
b. I and III are equivalent
c. II and III are equivalent
d. I, II, and III are equivalent
e. None are equivalent
(Points : 4)

Click here to see answer by MathLover1(20849) About Me 

Question 683668: I have being given to solve Find the truth value of (P ⇒ Q) ∨ R if P is false, Q is false, and R is true. What is the truth value of this expression if the brackets are removed?
Click here to see answer by Edwin Parker(36) About Me 

Question 693519: 1. ~E
2. ~V implies E
/ ~(~V v E)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 694467: Two squares have a combined area of 17cm2. The sum of the perimeter of the squares is 20cm. Find the lengths of the squares.
Click here to see answer by mouk(232) About Me 

Question 707266: what is the negation of the statement "the sun is shining and it is warm"?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 707266: what is the negation of the statement "the sun is shining and it is warm"?
Click here to see answer by jsmallt9(3758) About Me 

Question 713628:

what is the probability of getting either a nine or a queen, when drawing a single card from a deck of 52 cards?

Click here to see answer by checkley79(3341) About Me 

Question 714955: if p is true and q is false and r is true what is the truth statement of the statement ~[ p^q)v (p-->~r)]
Click here to see answer by lynnlo(4176) About Me 

Question 729129: Construct a truth table for the statement, (p <--->q) --->p
Any help would be greatly appreciated. Or an example of a very similar problem with the exact same punctuations etc. Please help!!! Thank you

Click here to see answer by jim_thompson5910(35256) About Me 

Question 740081: Determine whether the following is a statement. If it is, then also classify the statement as true or false.
Why don't you come here?
true?

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Question 770017: Hi would you please explain why the following is invalid?
All nurses went to college.
Some bookkeepers went to college.
Therefore, bookkeepers are registered nurses.
Thank you.

Click here to see answer by MathLover1(20849) About Me 

Question 774301: If it rains then crops are good and crops were not good, therefore, it did not
rain.

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Question 791495: p is False and q is False. Determine the truth-value of the following compound statement: ~(p v q)?

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Question 797362: how many cups will I have if I combine 1/2 pints of milk and 1/2 pints of water

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Question 798633: I just wanted to check an answer. Could you please let me know if this is right?
3x+7<1 or 2k -3>1 . I got k>-2 or k>2. If this is not the answer could you please tell me the correct answer?
Thanks!
Crystal

Click here to see answer by Alan3354(69443) About Me 

Question 803658: a) Construct a truth table for (p^~q)V(~pVq). What is the truth value of the statement if p is true and q is false?
Click here to see answer by stanbon(75887) About Me 

Question 804633: P(x) : x^2 < x . for which x is the value of P(x) true ?
Click here to see answer by solver91311(24713) About Me 

Question 812001: Determine whether the statement is a self-contradiction, an implication, a tautology (that is not also an implication), or none of these.
p → (q ∨ p)

Click here to see answer by Edwin McCravy(20055) About Me 

Question 804234: Given the implication " you brush your hair, then your hair will be shiny" answer the following questions
1. what is the converse of the given implication?
2. what is the inverse of the given implication?
3. what is the contra positive of the given implication?
4. If given the converse statement " If you are broke , then you spent a lot of money" what was the original implication?
5. If given the contra positive statement, " If school is not cancelled then we did not have a blizzard", what was the original implication.

Click here to see answer by Edwin McCravy(20055) About Me 

Question 809634: Give a truth table that shows the Boolean value of each of the following Boolean expressions, for every possible combination of input values. Hint: including columns for intermediate expressions is helpful. I have no idea where to start. Could you please help me understand how to make truth tables of them?
a) not (p and q)
b) (not P) and Q
c) (not P) or (not(q)
d) (P and Q) or R
e) (P or R) and (Q or R)

Click here to see answer by Edwin McCravy(20055) About Me 

Question 825888: What is fallacy of converse?
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Question 830150: Ram saves rupees x per week and spent rupees y daily.What will be his income after 2 weeks?
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Question 843468: A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}. Find A – B and B – A.
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Question 860217: If p.q are two statements then pv(p^q)=?
ans.
(a)Pvq,(b)p^q,(c)q,(d)p

Click here to see answer by stanbon(75887) About Me 

Question 861785: Logic and Reasoning
Given the following true logical statement:
*If inputs x1, x2, and x3 are all true, then output y is true.
*Write this statement as a logical statement using the appropriate logic symbols for conjunction and implication.
*Write the converse and contrapositive of this statement.
*Is the converse true? Explain why or why not.
*Is the contrapositive true? Explain why or why not.

Click here to see answer by richwmiller(17219) About Me 

Question 868438: Let U = {1, 2, 3, 4, 5}, A = {1, 5}, B = {1, 2, 3, 4} and C = {2, 5}. Determine
_ _

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Question 868439: Let U = {1, 2, 3, 4, 5}, A = {1, 5}, B = {1, 2, 3, 4} and C = {2, 5}. Determine
_____ ____
(A∩B)∪(B∪C)

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Question 868435: Let U = {1, 2, 3, 4, 5}, A = {1, 5}, B = {1, 2, 3, 4} and C = {2, 5}. Determine
A×C

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