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

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 Logic: Propositions, Conjunction, Disjunction, Implication Solvers Lessons Answers archive Quiz In Depth

 Question 261207: Form the contrpositive: If I do not wash my clothes, then I will have nothing clean to wear. a) If I have nothing clean to wear, I did not wash my clothes. b) If I do not wash my clothes, then I will have something clean to wear c) If i wash my clothes, then I will have something clean to wear. d) If I have something clean to wear, I washed my clothes. e) If I have something clean to wear, I did not wash my clothes. I know b and e doesn't make sense, but the rest all look the same to me. Click here to see answer by solver91311(17077)

 Question 261272: Write the argument belowin symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used. 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. I am so confused and need help please. Click here to see answer by solver91311(17077)

 Question 261189: Can someone please help me with these truth tables? When I get my tax check I am planning on making a donation to the site because this site has really helped me out alot. This is 3 tables out of a slew I have and I really need help on these, so I can do the rest of my work. 1) (q ^ ~q) <-> q 2)(~p ^ q) -> p 3) q -> (q V ~q) Thank you soooo much in advance for your time and effort to help me... Click here to see answer by jim_thompson5910(28717)

 Question 261773: In this exercise, construct a truth table for the statement ~p --> ~q Click here to see answer by jim_thompson5910(28717)

 Question 261914: Can someone tell me if I have this correct? Identify which argument is invalid? 1) If I catch the bus on time, then I am not late to work. I was late to work Therefore, I did not catch the bus on time. 2) If I shower in the morning, then I do not smell bad. I do not smell bad. Therefore, I showered in the morning. 3) Either I catch the bus on time or I am late to work. I did not catch the bus on time. Therefore, I was late to work. 4) If the water is filtered, then it will not contain lead. The water is filtered. Therefore, it does not contain lead. 5) If the elephant roars, then it does not want company. If it does not want company, then it is hungry. If the elephant roars, then it is hungry. I think the answer is number 5, am I correct? Click here to see answer by alyssab92(4)

 Question 261925: Write the compound statement is words. Let p= The monitor is included. Let q= The color printer is optional a) The monitor is not included and the color printer is optional. b) The monitor is included and the color printer is not optional. c) The monitor is included and the color printer is optional. d) The monitor is inlcuded or the color printer is not optional. I think the answer is "d", am I correct? Click here to see answer by dylantc77(3)

 Question 262147: 8. Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work. I) If the dog licks her nose, then the dog is not happy. II) If the dog licks her nose, then the dog is happy. III) If the dog is not happy, then the dog does not lick her nose. a. I, II, and III are equivalent b. I and II are equivalent c. II and III are equivalent d. I and III are equivalent e. None are equivalent How do I show work on this? I don't get it? Click here to see answer by jim_thompson5910(28717)
 Question 262147: 8. Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work. I) If the dog licks her nose, then the dog is not happy. II) If the dog licks her nose, then the dog is happy. III) If the dog is not happy, then the dog does not lick her nose. a. I, II, and III are equivalent b. I and II are equivalent c. II and III are equivalent d. I and III are equivalent e. None are equivalent How do I show work on this? I don't get it? Click here to see answer by richwmiller(9144)

 Question 262318: Hello, Can someone please help me solve this problem, I tried and I still can not figure it out. I really stuck on this problem. a) Construct a truth table for (~p UD ^ q) ↔ q Thank you, Click here to see answer by richwmiller(9144)

 Question 262909: Determine the truth value of the following statement: Rome is a city in France or all numbers are divisible by 1. Click here to see answer by richwmiller(9144)

 Question 263168: Hello, Can someone please help me with a truth table, I am the worst in trying to fiqure them out but I tried here what I did 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........P<->q T.......T........T T.......F........T F.......T........F F.......F........T I not sure I did that right, I'm so confused with these type of problem and I have more to do. Thank you so much for your help, I'm new to this web site a friend recommended you site to me. Again Thank you I hope you can help me. Click here to see answer by stanbon(57969)
 Question 263168: Hello, Can someone please help me with a truth table, I am the worst in trying to fiqure them out but I tried here what I did 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........P<->q T.......T........T T.......F........T F.......T........F F.......F........T I not sure I did that right, I'm so confused with these type of problem and I have more to do. Thank you so much for your help, I'm new to this web site a friend recommended you site to me. Again Thank you I hope you can help me. Click here to see answer by jim_thompson5910(28717)

 Question 263274: 7. Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement. [(~q V r) Λ~p] (Points :3) True False i picked true Click here to see answer by mducky2(62)

 Question 263743: Given p is true, q is false, and r is true, find the truth value of the statement (~p ^ q) ↔ ~r. its true. i made a truth table but i think im wrong Click here to see answer by jim_thompson5910(28717)

 Question 267283: If p is a true statement and q is a false statement then find the truth value of q^(p^q) Click here to see answer by jim_thompson5910(28717)

 Question 268417: I dont understand questions like this. p:An isosceles triangle has two congruent sides. q:A right angle measures 90 degrees r:Four points are always coplanar s:A decagon has 12 sides Click here to see answer by mspretty(2)

 Question 288035: Translate the following statements into logical expressions: if l complete tenth class,then l can go to study intermediate or to study polytechnic. Click here to see answer by amnd(23)

 Question 290268: deductive reasoning argument: All cats have fur. Frisky is a cat. Therefore, by deductive reasoning, I can conclude,.... Click here to see answer by richwmiller(9144)

 Question 294029: Determine which, if any, of the three statements are equivalent. I) If there is no food left on the table, then we have had dinner. II) If we have had dinner, then there is no food left on the table. III) If there is food left on the table, then we have not had dinner. I, II, and III are equivalent I and II are equivalent II and III are equivalent I and III are equivalent None are equivalent Click here to see answer by richwmiller(9144)

 Question 297286: Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement. (~p ^ ~q) v r True False Click here to see answer by jim_thompson5910(28717)

 Question 297284: Construct a truth table for ~q ^ p Click here to see answer by jim_thompson5910(28717)

 Question 297750: 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. Click here to see answer by user_dude2008(1861)

 Question 308474: a) Determine the truth value of when : (i) (4 points) p is true and q is false . T (ii) (4 points) p is false and q is true.F Click here to see answer by jim_thompson5910(28717)

 Question 309454: In exercise 55-60, write the converse, inverse, and contra positive of the statement. 58. If Bob Dylan records a new CD, then he will go on tour. I don't understand how to come up with the Inverse. Here are my answers so far: If Bob Dylan does go on tour, then he will record a new CD. If Bob Dylan does not go on tour then he will not record a new CD. Click here to see answer by richwmiller(9144)

 Question 309832: I dont have a clue! Determine if the argument is valid or invalid. If it is cold, then you need a coat. You do not need a coat. It is not cold. * Valid by the law of detachment * Valid by the law of contraposition *Invalid by fallacy of the converse * Invalid by fallacy of the inverse * Valid by the law of syllogism * Valid by disjunctive syllogism Any help would be greatly apprecitated! Click here to see answer by stanbon(57969)

 Question 310246: Determine the truth value of the following statement: The Venus de Milo is a famous statue and all odd numbers are divisible by 3. (a) true (b) false Click here to see answer by Fombitz(13828)

 Question 310247: Construct a truth table for (~p V ~q) --> p Click here to see answer by Fombitz(13828)

 Question 310536: Construct a truth table for p -> (~q ^ p) Click here to see answer by Edwin McCravy(8999)

 Question 310534: Fill in the heading of the following truth table using any of p, q, ~,--> , ↔,V , and ^. Use keyboard shortcuts of --> for ->, <--> for ↔, V for V, and ^ for ^. p q _________ T T T T F F F T F F F F Click here to see answer by Fombitz(13828)

 Question 310538: Given p is true, q is false, and r is true, find the truth value of the statement (~p ^ q) ↔ ~r. Show step by step work. Use keyboard shortcuts of --> for ->, <--> for ↔, V for V, and ^ for ^ , if needed. Click here to see answer by Fombitz(13828)

 Question 311282: whats 1+1>0204+2934<39cow2415212 and 7 Click here to see answer by Fombitz(13828)

 Question 318387: ~[~(f.f)v ~ (~f v f)]. I dont know when there is a curl symbol in front of a conjuncts that is false you make that conjunct a true value using the true value table? Click here to see answer by jim_thompson5910(28717)

 Question 320587: Either Jennifer Lopez or Ben Affleck will attend the premier, but it is not the case that both will. Click here to see answer by Alan3354(31532)

 Question 322266: Fill in the heading of the following truth table using any of p, q, ~,--> , ↔,V , and ^. Use keyboard shortcuts of --> for ->, <--> for ↔, V for V, and ^ for ^. p q _________ T T F T F F F T F F F T Click here to see answer by Fombitz(13828)

 Question 322301: Given p is true, q is true, and r is false, find the truth value of the statement ~p (~q r) Click here to see answer by Fombitz(13828)

 Question 325276: I have 3 questions on my exercise that really have me stumped. Here are the directions for the exercise "In each of these examples, and in all exercises immediately following, a formal proof for each argument may be constructed by adding just two additional statements. This will be an easy task if the nine elementary valid argument forms are clearly in mind. Bear in mind that the final line in the sequence of each proof is always the conclusion of the argument being proved." (1). V v W ~V Therefore W v X (2) Q > R R > S ~S Therefore ~Q . ~R (3)(A v B) > ~C C V D A Therefore D. Click here to see answer by jim_thompson5910(28717)

 Question 325454: True or False? ~(~p -> ~q)_= p -> q Please note that the equal sign has 3 bars - not sure how to type that in this equation. Click here to see answer by jim_thompson5910(28717)

 Question 325463: If p is true, q is true, and r is false, then the truth value of ~[~(p^r) V ~q] is ? (True or False?) Click here to see answer by jim_thompson5910(28717)

 Question 333668: 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: (~r q) ~p Click here to see answer by solver91311(17077)

 Question 334087: Determine the truth value of the following statement: Rome is a city in Italy or all positive numbers are between 0 and 1. True or False Click here to see answer by user_dude2008(1861)

 Question 334136: Construct a truth table for ~(~q^p) Click here to see answer by solver91311(17077)

 Question 335637: I need to write a compound statement in symbolic form: p:the food is good q: I eat too much r: I'll exercise If the food is not good, I won't eat too much. I know it must contain p and q. And I also know that it will contain ~p and ~q, but I'm not sure the difference between ~(p --> q) or ~p --> ~q. Please help. Click here to see answer by solver91311(17077)

 Question 335709: Given p is true, q is true, and r is false, find the truth value of the statement ~q --> (p ^ ~r) Click here to see answer by solver91311(17077)

 Question 338560: Let: A = {1,2,3,4,6,7,11) B = {1,3,5,6,8,11} C = {1,2,3,4,5,8,9,10} Find the bitwise: a. A XOR B b. B DIFF C NOTE: I am familiar with AND, OR, XOR but using bits (o's and 1's) i could carry out the operations but in this case A, B and C are defined as a set I am not sure how to carry on. a.) Are we simply looking for numbers in A and not in B as well as numbers in B and not in A which will be ANS: A XOR B will be {2,4,5,7,8} b.) In this case are we looking for what is in B and not in C? B DIFF C ANS: { Thnak you very much for your help Click here to see answer by Edwin McCravy(8999)

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