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

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Question 431684: which equation represents the set of all points equidistant from y=-3 and y=5?
a. y=2
b. y=1
c. x=1
d. x= 2

Click here to see answer by rfer(16322) About Me 

Question 432556: Can I get help negating this problem.
Everyone has at least one television set.
I have it figured this way:
At least one person does not own 1 television set.
Thanks,
Kim

Click here to see answer by rwm(914) About Me 

Question 433431: Check the converse and contrapositive implification:-
a) If it is hot, then I take a drink.
b) If today is Monday, then tomorrow is tuesday.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 434700: ∼(∼p ∨ ∼q) construct a truth table for this statement
Click here to see answer by solver91311(24713) About Me 

Question 435503: Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols.
It is not the case that Jim plays football and Michael does not play basketball.
(Multiple Choice)
A.) ~p Λ q
B.) ~p Λ ~q
C.) ~(p Λ q)
D.) ~(p Λ ~q)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 435910: two questions:
Construct a truth table for (p v ~q) ↔ p


Construct a truth table for q ^ ~p

need help with both of these please

Click here to see answer by kittycat1613(12) About Me 

Question 439657: I have a question I cant figure out.
True or false
If the implication if p then q is true and if p is true, then q is also true.
I say it is true. Am i right?
Thanks,
Dave

Click here to see answer by rapaljer(4671) About Me 

Question 440444: You are given a binomial random variable with n = 25 and p = 0.35.
A. Calculate the mean for the random variable.
B. Calculate the standard deviation for the random variable.

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

Question 442129: how would you solve |x+5| > 3 ?
I can't remember how to do disjunctions and my book isn't helping me.

Click here to see answer by scott8148(6628) About Me 
Question 442129: how would you solve |x+5| > 3 ?
I can't remember how to do disjunctions and my book isn't helping me.

Click here to see answer by woolybear(13) About Me 

Question 447662: For even integers x greater than 2, let *x* be defined as the product of the integers from 2 to x, inclusive. For example, *6*= (2)(4)(6)= 48.
If *8*/*6*=*a*, what is the value of a?

Click here to see answer by richard1234(7193) About Me 

Question 451893: if p is true, q is false, and r is true, find the truth value of the statement.
(∼p ∨ q → ∼q)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 452329: write a negation of the statement Some citizens obey traffic laws.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 452592: Construct a truth table for (~p⋁q) ↔ p
Click here to see answer by Edwin McCravy(20054) About Me 

Question 454055: if the measure of B is tice the meaure of A what is the measure of A?

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

Question 454881: how to construct a truth table for p Ʌ (q Ʌ r)
Click here to see answer by stanbon(75887) About Me 

Question 454883: Use a truth table to determine whether the two statements are equivalent ∼(p → q), p ∧ ∼q
Click here to see answer by Edwin McCravy(20054) About Me 

Question 455456: . Create a Euler diagram to determine whether the syllogism is valid or invalid..

All grocery stores are open until 10 p.m.
The store on the corner is open until 10 p.m.
The store on the corner is a grocery store.

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

Question 455733: Form the contrapositive: If I do not mow the lawn, the grass grows too tall
Click here to see answer by robertb(5830) About Me 

Question 457740: What is the correct mood and figure for the categorical syllogism
Some P are M
No M are So
Therefore Some S are P

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

Question 459385: Which, if any, of the three statements are equivalent.
I) If it is sunny, then I will go swimming.
II) If I do not go swimming, then it is not sunny.
III) Either it is sunny or I will go swimming.

Thank you in advanced.

Click here to see answer by richard1234(7193) About Me 

Question 463501: if p is false and q is false which statement is true?
1. pvq
2. p^q
3. ~p→q
4. p↔q

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

Question 463905: Please be kind enough to answer my problems
Thank you so much
Ten thousand raffle tickets are sold for $5 each. Four prizes will be awarded: one for $5000, one for $2500, and two for $1000. Assume that the probability that any given ticket is selected for the $5000 prize is 1/10,000 the probability that any given ticket is select for $2500 prize is 1/10,000 And the probability is select for a $1000 prize is 2/10,000. Sidhardt purchases one of these tickets.

This is my third problem and no one has answer the first two. I need the answer within 5 hours. Will denoted once the problems be solve

Click here to see answer by amoresroy(361) About Me 

Question 465848: Write the compound statement in words.
p = The puppy behaves well.
q = His owners are happy.
~(p -> q)
which one is correct I'm confussed.
1) It is not the case that if the puppy behaves well then his owners are happy.
2) The puppy does not behave well or his owners are happy.
3) If the puppy does not behave well then his owners are not happy.
4) It is not the case that the puppy behaves well if his owners are not happy.
( I think it is 3 but I'm not sure.)

Click here to see answer by kingme18(98) About Me 

Question 465859: Determine if the argument is valid or invalid. Given a reason to justify answer.
If it's Tuesday, then this must be Paris.
(sentence underlined) Today is Wednesday.
/\ This must not be Paris.
Which one is correct.
1) Valid by the law of detachment
2) Valid by the law of contraposition
3) Invalid by fallacy of the converse
4) Invalid by fallacy of the inverse
5) Valid by the law of syllogism
6) Valid by disjunction syllogism

Click here to see answer by kingme18(98) About Me 

Question 466133: I am a little confussed.
Construct a truth table for q -> ~p

Click here to see answer by Edwin McCravy(20054) About Me 

Question 466132: Let p,q, and r be the following statements:
p: Jamie is on the train.
q: Sylvia is at the park.
r: Nigel is in the car.
Translate the following statement into English: (p /\ ~q)-> r

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

Question 466148: Write the statement in symbols using the p and q given below. Then construct a truth table for the symbolic statement.
p = I eat too much.
q = I'll exercise.
I'll exercise if I don't eat too much.

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

Question 466144: Given the argument and the Euler diagram below, determine whether it is valid or invalid.
All salespeople who make cold calls increase their incomes.
(underlined) Yuwel ia a salesperson who makes cold calls.
Yuwel will increase her income.

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

Question 470468: construct a truth table for ~q ^ ~ p
Click here to see answer by Theo(13342) About Me 
Question 470468: construct a truth table for ~q ^ ~ p
Click here to see answer by solver91311(24713) About Me 

Question 470593: Hello. I am looking for assistance on this particular problem. ANy help you can give is greatly appreciated. Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement.
[(~p v ~q) ^ ~q]

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

Question 470549: I could really use some help with this, I find truth tables to be very confusing and I am not quite sue how to read this problem.Thank you in advance
construct a truth table for the statement:
r ∧ (q)∧ ∼p

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

Question 470548: I could sure use some help with this problem. Math is not a subject that i find very easy and any help would be greatly appreciated. Thank You!!!
if p is true, q is false, and r is true, find the truth value of the statement.

[(∼r → ∼q) ∨ (p ∧ ∼r)] → q

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

Question 470994: Construct a truth table for p --> ~q
Click here to see answer by jim_thompson5910(35256) About Me 

Question 471379: Could someone please help me with this truth table? Iam really struggling with this in college math. Thank you in advance.


Construct a truth table for ~q --> (p V q). Be sure to include all intermediate steps in your table.


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

Question 471384: I could really use some help on this problem please.Thank you in advance.

Given p is false, q is true, and r is true, find the truth value of the statement (p V ~q) ↔ ~r.
Show step by step work.

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

Question 475171: PLEASE answer this .
You buy a commemorative coin for $25. The value of the coin increases 3.25% per year. How much will the coin be worth in 15 years? Round to the nearest cent.

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

Question 475706: if p = i like mathematics , and q = i am a good physician,. write out the meaning of
(i). p ^ ~q
(ii). ~p v q
(iii). ~(p ^ q)

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

Question 475710: Construct the truth table for the following
(i) p ^ (~p v q ) v (~q v p )
(ii) ~q if and only if (p ^ q)

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

Question 478097: construct a truth table for the statement. q v (p--> ~r)
Click here to see answer by Theo(13342) About Me 

Question 481942: Please help!
determine the truth value of the statement when p is T, q is F, and r is F.
~[(q^r)-->(~pVr)]

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

Question 481944: write the statement in symbolic form and construct a truth table.
Mike made pizza and Dennis made a chef salad, but Gil burned the lemon squares.
I am really stuck on this stuff, I appreciate any help.

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

Question 483286: 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 Theo(13342) About Me 

Question 483294: if p is true, q is false, and r is true, find the truth value of the statement. (r → ∼p) ∧ (q → ∼r)
Click here to see answer by Theo(13342) About Me