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

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Question 554669: In Exercises 57–66, write the statements in symbolic form. Let
p: The temperature is 90°.
q: The air conditioner is working.
r: The apartment is hot.
58. The temperature is not 90° and the air conditioner is working, but the apartment is hot.

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Question 557583: x over 30 = 3 over 15
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Question 560464: I need help constructing the truth table for the information below please...
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.
p = I eat too much. q = I'll exercise. If I exercise, then I won't eat too much.
--------
If I understand it correctly, the symbolic statement would look like this:
(not p)implies q
--------
What would the truth table look like??
Thanks

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Question 561607: Tutors: Can I get some help with this please...
Given p is true, q is true, and r is false, find the truth value of the statement ~p--> (qV ~r)

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Question 562526: What is the inverse form of this statement : If I do not wash my clothes, then I will have nothing clean to wear.
If I have nothing clean to wear, then I did not wash my clothes.
If I wash my clothes, then I will have something clean to wear.
If I have something clean to wear, then I washed my clothes.
If I have something clean to wear, then I did not wash my clothes.
If I do not wash my clothes, then I will have something clean to wear.

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Question 563420: Hi there. Could you help me with this probability question please....
Each individual letter of the word TENNESSEE is placed on a piece of paper and all 9 pieces of paper are placed in a hat. If one letter is selected at random from the hat, determine the probability that the letter V is not selected.
Thank you

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Question 563871: We are asked to reach a valid conclusion using reasoning by transitivity.
"If I tell you the time, then we'll start chatting. If we start chatting, then you'll want to meet me at a local pub to sip that pub. If we meet at a local pub, then we'll discuss my family. If we discuss my family, then you'll find out that my daughter is available for marriage. If you find out that my daughter is available for marriage, then you'll want to marry her. If you want to marry her, then my life will be miserable since I don't want my daughter married to some fool who can't afford a 10 dollar watch."

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Question 564082: I have 5/6 of a receipe, how much will it take to make 1/6 of receipe

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Question 565030: Hello my questions is with this equation: ((x->y)^(y->z))->(x->z)
I'm suppose to prove that it is a tautology through a truth table. I was just wondering when you throw that third letter in there (z) how does the truth table start. Is it that there are now 6 rows instead of a normal 4 with two variables. like x would start with three T's and three F's? Thanks in advance

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Question 568316: Let p, q, and r represent the following statements.
p: Jamie is on the train
q: Sylvia is at the park
r: Nigel is in the car
Construct a truth table for the following
a. ~q V p
b. (~p V q)↔ q
I hope this is in the right section.. I can't understand truth tables for the life of me, so if you could provide some information like step by step that would be fantastic.

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Question 569541: Prove that the following argument is not valid. "If it rains, crops will be good" if it did not rain, therefore, crops were not good.
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Question 574169: Write the compound statement in symbols.
Let r = "The food is good,"
p = "I eat too much,"
q = "I'll exercise."
I'll exercise if I don't eat too much.

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Question 581632: construct a truth table for the statement
~[(~pv~q)v~(~p^q)]
I am having a terrible time with this, I would welcome anything you may have.
Thank you!

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Question 581882: I am not to sure on this equation. Given p is true, and r is false, find the truth value of the statment ~q-->(p^~r)
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Question 583044: P: the belt is white
Q: the tie is tan
Rewrite the statement ~p^q in English?

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Question 588279: truth table for p-->(~q ^ p)
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Question 588459: construct a truth table for the following:
1. ~p-> q
2. ~(p->q)

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Question 591862: Given p is true, q is true, and r is false, find the truth value of the statement ~p -> (q V ~r).
Show step by step work. Use keyboard shortcuts of --> for , <--> for ↔, V for , and ^ for , if needed.

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Question 591864: Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used. Submit your full detailed solution to the dropbox.

Either the gazebo is made of wood or the vine is growing on the gazebo.
The vine is not growing on the gazebo.
The gazebo is made of wood.

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Question 594888: if p is true, q is false, and r is true, find the truth value of the statement (~p ^ q <-> ~r)
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Question 596192: if p is true, q is false, and r is true, find the truth value of the statement.
show all work
(∼p ∨ q → ∼q)

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Question 597248: Solve the conjunction -2<_a +3<8 and graph its solution.
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Question 599327: let p represent a true statement, while q represents false statements. find the truth value of the compound statement. ~[(~p^q)vr]
I don't get it?! Help please!!

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Question 601519: In Exercises 45–56, if p is true, q is false, and r is true, find the truth value of the statement
46.
(p ∨ q) → ∼r

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Question 601521: construct a truth table for the statement
6.
p ∨ ∼p

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Question 607681: Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols. Jim plays football and Michael plays basketball.
A. p ∧ q
B. p ∨ q
C. p ∨ ~q
D. ~p ∧ q

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Question 607681: Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols. Jim plays football and Michael plays basketball.
A. p ∧ q
B. p ∨ q
C. p ∨ ~q
D. ~p ∧ q

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Question 610803: Construct a truth table for given statement. p^~p
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Question 610806: Determine whether the argument is valid or not.
pV~q
p
_____
∴ ~q

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Question 610919: Break down the argument and analyze it decide wether the argument is valid or invalid?
"If we evolve a race of pure logicians, that would not be progress; but we have not evolved a race of pure logicians; so thats progress".

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Question 615977: The Missouri Football Stadium is 12 3/4 inches from the Columbia Regional Airport on a map with a representative fraction of 1 : 100,000. How many miles apart are they.?
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Question 616941: how do you solve -5<_ a+2<3?
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Question 617498: If the koi are swimming in the pond, then the birds are chirping.
The koi are not swimming in the pond.
The birds are not chirping.Make a truth table and make sure details of how and why you got this answer.(p->q)~q

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Question 372020: Form the converse: If I do not change my car’s oil, then my car will have engine trouble.
A. If I change my car’s oil, then my car will not have engine trouble.
B. If my car does not have engine trouble, then I changed my car’s oil
C. If my car does not have engine trouble, then I did not change my car’s oil
D. If my car has engine trouble, then I did not change my car’s oil
E. If my car has engine trouble, then I changed my car’s oil.

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Question 619172: we use conjunction in place of AND and disjunction in place of OR what do we use for sentences with:(neither,nor)(but)(either,or)
..please help me....thanks

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Question 625540: I need help figuring out this problem :
p^(~q)

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Question 625868: If p is true, q is false, and r is true, find the truth value of the statement: (p ˅ q)→∽r
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Question 625918: If I take a taxi, I will get to the museum faster.
If i get to the musuem faster i will have more time to enjoy my paintings
If I take a taxi, I will have more time to enjoy the paintings.

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Question 626150: PLEASE HELP ME~ Construct a truth table for the following

∼(∼p ∨ ∼q)
*This is what I have-
P Q ~P ~Q ~PV~Q
T T F F F
T F F T T
F T T F T
F F T T T
What is confusing me is ~ outside the (). PLEASE HELP! Am I correct above, What about the ~ outside the () how do I place that into the table!
THANK YOU~~
Tiff

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Question 626282: If p is true, q is false, and r is true, find the truth value of the statement. (∼p ∨ q → ∼q)
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Question 626759: Construct a truth table for ~q ˄ p
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Question 627203: Form the converse: If I do not wash my clothes, then I will have nothing clean to wear.
If I do not wash my clothes, then I will have something clean to wear.
If I wash my clothes, then I will have something clean to wear.
If I have something clean to wear, then I washed my clothes.
If I have something clean to wear, then I did not wash my clothes.
If I have nothing clean to wear, then I did not wash my clothes

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Question 627259: Good morning,
Write the compound statement in symbols. let r =The food is good, P =I eat too much, q = I'll exercise.
If the food is good and if I eat too much, then I'll exercise.
. r^ (p -> q)
. (r ^ P) -> q)
. p -> (r ^ q)
. r -> (p ^ q)
Is the first one the correct answer?

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Question 627259: Good morning,
Write the compound statement in symbols. let r =The food is good, P =I eat too much, q = I'll exercise.
If the food is good and if I eat too much, then I'll exercise.
. r^ (p -> q)
. (r ^ P) -> q)
. p -> (r ^ q)
. r -> (p ^ q)
Is the first one the correct answer?

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Question 628087: Construct a truth table for (~p ᴧ q) → p, be sure to include all your work
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