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Tutors Answer Your Questions about Conjunction (FREE)
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.
Click here to see answer by Theo(2967)   |
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
Click here to see answer by stanbon(48507) |
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."
Click here to see answer by Theo(2967) |
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
Click here to see answer by Earlsdon(6098) |
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.
Click here to see answer by issacodegard(60)  |
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.
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If I understand it correctly, the symbolic statement would look like this:
(not p)implies q
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What would the truth table look like??
Thanks
Click here to see answer by stanbon(48507) |
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.
Click here to see answer by jim_thompson5910(21667) |
Question 548454: 8. Determine which, if any, of the three statements are equivalent. Show steps. Give a reason for your conclusion. Show complete work and submit your solution to the Dropbox.
1) if it is sunny, then I will go swimming
2) If i do not go swimming, then it is not sunny.
3) Either it is sunny or I will go swimming.
a)1,2,and 3 are equivalent
b)1 and 2 are equivalent
c)2 and 3 are equivalent
d)1 and 3 are equivalent
e) none are equivalent
Click here to see answer by KMST(576)  |
Question 534325: I'm so lost with this statement. I have read my book, power point notes, lecture notes and I am still lost.
In Exercises 5–20, construct a truth table for the statement.
6. p ∨ ∼p
So far, I know that this is a disjunction "or" statement, but I am not sure how to construct a chart. Please help me.
Click here to see answer by solver91311(12117)  |
Question 528410: A tree is 4.0m high, It is growing at a rate of 1.2m per year. At this rate of growth, how high will it be in 5 years?
Is this a proportional situation. How do you know the problem does not represent a proportional situation?
we calculated: that it took the tree 3.33yrs to gorw 4 meters in 5 years it will be 6 m high. the equations evens out 1.2 = 1.2 not sure if we got this right? please confirm.
Click here to see answer by scott8148(5879)  |
Question 521599: Prove that:
(a) P ) Q is not equivalent to Q ) P
(b) P ) Q is not equivalent to :P ) :Q
(c) P , Q , R is not equivalent to (P , Q) ^ (Q , R)
Give shorter propositions which are equivalent to:
(a) T , T
(b) T , F
(c) P , T.
(d) P , F.
In a mathematics book we read
y = x2 + 2x + 2 ) y = (x + 1)2 + 1 ) y >_ 1:
that ist >_ littl equal
Click here to see answer by solver91311(12117) |
Question 516109: Determine which, if any, of the three statements are equivalent.
I) If my car does not start, then I will not make it to work on time.
II) If my car does not start, then I will make it to work on time.
III) Either my car starts or I will make it to work on time.
Click here to see answer by Edwin McCravy(6931)  |
Question 501045: The police suspects that four persons hacked into the university computer
system. The four persons made the following statement to the police:
Anh: Phuong did it.
Phuong: Ben did it.
Tuan: I did not do it
Ben: Phuong lied when he said that I did it.
a. Suppose the police know that exactly one person is lying, who did it?
b. Suppose the police know that exactly one person is telling the truth,
who did it?
Justify your answer.
Click here to see answer by solver91311(12117) |
Question 494495: Consider the following proposition: There are no integers a and b such that
b^2 = 4a + 2.
(a) Rewrite this statement in an equivalent form using a universal quantifier
by completing the following:
For all integers a and b,....
(b) Prove the statement in Part (a).
Click here to see answer by richard1234(4789)  |
Question 485685: Please help again, i have also posted this problem several times, and yet no response.
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 Theo(2967) |
Question 485670: please please help me, i have posted this problem several times and no one will respond.
if the argument 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 sing in the shower, then i will not be overheard while singing.
i was overheard while singing
therefore i did not sing in the shower.
Click here to see answer by Theo(2967) |
Question 485670: please please help me, i have posted this problem several times and no one will respond.
if the argument 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 sing in the shower, then i will not be overheard while singing.
i was overheard while singing
therefore i did not sing in the shower.
Click here to see answer by solver91311(12117) |
Question 484722: 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 the water is filtered, then it does not contain lead.
The water does not contain lead.
Therefore, the water is filtered.
Would someone help me please? I'm not sure how to do this completely, because I am not good with these problems.
Click here to see answer by Deina(147)  |
Question 484726: Would somebody please help me with this? Thank you so much.
Form the inverse:
If I do not wash my clothes, then I will have nothing clean to wear.
1. If I have nothing clean to wear, then I did not wash my clothes.
2. If I wash my clothes, then I will have something clean to wear.
3. If I have something clean to wear, then I washed my clothes.
4. If I have something clean to wear, then I did not wash my clothes.
5. If I do not wash my clothes, then I will have something clean to wear.
Click here to see answer by jim_thompson5910(21667) |
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