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

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Question 338582: How many rows will a Truth Table require if there are seven variables and nine conditions of each variable. Please explain
Please clarify the variables used in the formula so i understand where they come from.
NOTE: I would have said 7^2 but the statement about number of conditions threw me off.
Click here to see answer by Fombitz(32388)

Question 341454: What is the truth value for p ^ q?
Click here to see answer by solver91311(24713)

Question 345109: if p is false and q is true, what is the truth for
p=>q
Click here to see answer by user_dude2008(1862)

Question 345236: 1.) If p is a true statement and q is a false statement then find the truth value of q^(p^q)
2.) If p is false and q is true find the truth value of Pdownarrow (PdownarrowQ)--> p
is it true or false?
Click here to see answer by solver91311(24713)

Question 347320: how do we EVER determine WHAT p is and WHAT q is. Please don't say 'it just is'.....i'm frustrated!
Click here to see answer by solver91311(24713)

Question 350033: Determine the truth value for each of the following statements:
(i) 4 + 3 = 6 AND 3 + 3 = 6
(ii) 5 + 3 = 8 OR 3 + 1 = 5

Click here to see answer by jim_thompson5910(35256)

Question 351529: Determine the truth value for each of the following statements: (4 Marks)
(i) 4 + 3 = 6 AND 3 + 3 = 6
(ii) 5 + 3 = 8 OR 3 + 1 = 5

Click here to see answer by Fombitz(32388)

Question 351994: Determine which of the following three statements are equivalent.

(a) not r or ( not q and not r)

(b) not r or (not p and not q)

(c) not[ r or ( p and q) ]

Click here to see answer by Edwin McCravy(20054)

Question 353167: find the truth value of the statement. (~p^q) <-> ~r
Click here to see answer by Jk22(389)

Question 353421: I'll exercise If I don't eat to much
Click here to see answer by Alan3354(69443)

Question 355217: (∼r ∨ ∼p) ∨ ∼q
determnine if its valid or invalid
A. p is true, q is false, r is true
B. p is false, q is true, r is treu
I have tried everything and can't figure how to do logics. Any help will be greatly appreciated.
Click here to see answer by Fombitz(32388)

Question 356188: Hello, Can someone please help me with this truth statement, I am confused and I have several, if you can show me this one, I can try to figure the rest out myself.
. Construct a truth table for (pV~q) --> p include all intermediate steps in your table.

Please help me.
Thank you so much.

Click here to see answer by Fombitz(32388)

Question 356883: Given the argument and its Euler diagram below, determine whether the syllogism is valid or invalid.

Click here to see answer by Fombitz(32388)

Question 345101: What is the truth value for a conditional?
Click here to see answer by jerryguo41(197)

Question 359629: what is the truth values of (pv~q) v~r
Click here to see answer by Fombitz(32388)

Question 362497: I have been trying to help you.
how we can this sentence make disjunctiv question
Click here to see answer by Alan3354(69443)

Question 367564: Let A = {1, 2, 3, 4} and R = {(1, 1), (1, 2), (1, 4), (2, 1), (2, 2), (3, 3), (4, 1), (4, 4)}
be a binary relation on A. Then
(a) Decide whether the given relation R is reflexive, irreflexive, symmetric, and/or transitive. Justify with reasons.
(b) Draw the directed graph of R.
(c) Write matrix representation of the given relation R on set A

Click here to see answer by Jk22(389)

Question 367631: a)
For the conditional:
�If a>3 then a>0�. Determine the truthness of its converse.
b)
Justify the truthness of the biconditional: a> 0 then a^2> 0.

Click here to see answer by rabiayasin(1)

Question 368995: Form the converse: If I eat a lot of sweets, then I will not feel well.
Click here to see answer by lefty4ever26(59)

Question 369434: For the conditional:
�If a>3 then a>0�. Determine the truthness of its converse.

Click here to see answer by jim_thompson5910(35256)

Question 372737: use a truth table to determine whether the two statements are equivalent.
∼(q → p) ∨ r, (p ∨ q) ∧ ∼ r
Click here to see answer by Jk22(389)

Question 380385: Determine the numeric value of this postfix expression
{ 4, 2, -, 3, 6, /, 2, *, / }

Click here to see answer by Jk22(389)

Question 380452: How does one figure out the number of vertices example A tree with 37 edges how many vertices does it have?
Click here to see answer by richard1234(7193)

Question 380486: Form a valid conclusion using all the statements for the argument.
If Ed is not guilty, then Jack is telling the truth.
Jack is not telling the truth.

Click here to see answer by solver91311(24713)

Question 385135: Truth Table: ~(P=>Q)<=>(P^~Q)
I believe I am on the right path with the following:
P Q P=>Q ~(P=>Q) ~Q P^~Q
t t t t f t
f t t f f f
t f f t t t
f f t f t f
Making this table a neither a tautology or a contrdiction. Would this be correct? Six columns with 4 t or f under each column. They would not line up for me so I hope this is understandable.
Melody

Click here to see answer by jim_thompson5910(35256)

Question 387682: 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.
q = The food is good
p = I eat too much.
If the food is not good, I won't eat too much.

~q -> ~p
p q ~p ~q ~q ~p
T T F F T
T F F T F
F T T F T
F F T T T

I tried to work the problem my self. Could some please tell me if this is right?
Click here to see answer by rapaljer(4671)

Question 387680: 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.
q = The food is good
p = I eat too much.
If the food is not good, I won't eat too much.
Click here to see answer by rapaljer(4671)

Question 387904:
Determine if the two statements are logically equivalent, negations, or neither.
(p ⋀ q ) → ∼ r; r → (∼ p ⋁ ∼ q)
(Points : 1)
Negations
Neither
Logically equivalent

12.
Identify the type of statement using the hierarchy of connectives.
∼ p ⋀ q → q ⋁ r
(Points : 1)
Disjunction
Conditional
Conjunction
Negation

Click here to see answer by jim_thompson5910(35256)

Question 398063: Given that is a rational number, what can you say about the value of n?
What if both and are rational? What can you say about the value of n?
Click here to see answer by Edwin McCravy(20054)

Question 402687: Please help....Each team has played once against every other team in a tournament. The results were
collected in the partly incomplete table below.
Team/ Won/ Drawn/ Lost/ Goals for the team/ Goals against the team
.A.... 1.... 1.... 1............ 1..................... 1.........
.B.... 3.... 0.... 0............ 6..................... 1.........
.C.... 1.... 1.... 1............ 1..................... 3.........
.D.... 0.... ?.... ?............ 1..................... 4.........
a) Find the number of draws and the number of losses for team D.
b) What was the result of the match B against C?
Click here to see answer by scott8148(6628)

Question 408087: A U B
Click here to see answer by richard1234(7193)

Question 411688: What is the converse,inverse and contrapositive of this theorem?
The diagonals of a parallelogram bisect each other.
Click here to see answer by Edwin McCravy(20054)

Question 414188: This is what I came up with is it correct?
, construct a truth table for the statement.
∼(∼p ∧ ∼q)
p q ∼ p ∼ q ~(p∧q)
T T F F F
T F F T F
F T T F F
F F T T T

Click here to see answer by sudhanshu_kmr(1152)

Question 414184: ∼[p → (q ∧ r)]
if p is true, q is false, and r is true, find the truth value of the statement

Click here to see answer by sudhanshu_kmr(1152)

Question 414528: p: Jamie is on the train.
q: Sylvia is at the park.
r: Nigel is in the car.

Translate the following statement into English: (~q r) ~p
Click here to see answer by jim_thompson5910(35256)

Question 414836: Convert the compound statement into words.
p = Students are happy.
q = Teachers are happy.
~(pV~q)

Click here to see answer by sudhanshu_kmr(1152)

Question 414849: Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement.
p (qV~r)

True or False

Click here to see answer by MathLover1(20849)

Question 415250: Determine if the conditional statement is true or false given the following:
p is false.
q is true
Is q p true or false?
Click here to see answer by solver91311(24713)

Question 415250: Determine if the conditional statement is true or false given the following:
p is false.
q is true
Is q p true or false?
Click here to see answer by htmentor(1343)

Question 415720: If the argument below is valid, name which of th four valid forms of argument is represented. If it is not valid, name the fallacy that is represented.
If the water is filtered, then it does not contain lead.
The water contains lead.
Therefore, the water is not filtered.
Click here to see answer by Theo(13342)

Question 416312: Hello, I am having some difficulty constructing this truth table.
I have been working on it for longer than I think I should. Any help would be greatly appreciated!
q <--> (p ^ ~q)
Click here to see answer by jim_thompson5910(35256)

Question 416484: I am lost, can anyone help?
Construct a truth table for (pV q) →~q
Click here to see answer by Edwin McCravy(20054)

Question 416425: If the argument below is valid, name which of the four valid forms of argument is represented. If it is not valid, name the fallacy that is represented.

If I catch the bus on time, then I am not late to work.
If I am not late to work, then I will get a raise.
Therefore, if I catch the bus on time, then I will get a raise.

Click here to see answer by jim_thompson5910(35256)

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