Questions on Logic: Sets and operations answered by real tutors!

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Question 1083807: in a survey 1/3 children like only mango and 25 donot like mango at all also 2/5 children like orange but 16 like none of them. then show above data in venn-diagram and find number of children who like both fruit
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Question 1084534: If n(A∪B)=40, n(A∩B)=10 and n(A)=15, find n(B)
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Question 1084951: Classify each statement True or False. Let M = {a,b,n,m}
1. a ε M
2. {a} ⊆ M
3. {b} ⊆ M
4. {a, b, n, m} ⊂ M
5. {a, n} ⊂ M
6. {n, m} ⊃ M
7. { } ⊂ M
8. 0 ⊂ M

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Question 1084955: Fill in the blank with ∈, ∉, ⊆, or ⊄
1. {a} ____ {a, b, c}
2. 100 ____ {2, 4, 6, 8, 10, ...}
3. { } ____ {1, 2, 3, ...}
4. {1} ____ {2, 3, 4}
5. x ____ {y}
6. {n} ____ {{n}, {m}, {0}}
7. 3 ____ {x|x is a whole number}

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Question 1085065: If n(A) = 40, N(B) = 117, and n(AUB) = 137, what is n(A ∩B)?
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Question 1085338: Give a statement that supports if the set is empty or universal
1. Tarsier in Metro Manila
2. All birds that can fly
3. Fathers that can give caesarian birth
4. All kinds of artists
5. Horses that fly

Click here to see answer by ikleyn(52780) About Me 

Question 1085533: Given
U=(1,2,3,4,5,6)
A=(1,3,5)
B=(3,4,5)
C=(2,4,6)
FIND
C?

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Question 1085744: Next number in each pattern:
(1) 3, -6, 12, 4, 20, ?
(2) 7, 16, 8, 27, 9, ?
(3) 2, 7, 26, 101, 400, ?
(4) 7, 21, 8, 72, 9, ?

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Question 1085914: If A= (0,1,2,3,4)
B= (0,2,4,6,8)
C= (1,3,5,7,9)
What is (AnB)UC
AnB {0,2,4,3}
AUC {0,1,2,3,4,5,6,7,8,9}

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Question 1087002: If a and b are disjoint sets than how can you find n(AuB)
Click here to see answer by ikleyn(52780) About Me 

Question 1087061: given n(U)=135,n(A)=79,n(B)=75,n(c)=59,n(A intersection B)=40,n(A intersection C)=35,n(B intersection C)=37,n(A intersection B intersection C)=28.Draw it in venn diagram


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Question 1088150: -t2 + 10t =
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Question 1088150: -t2 + 10t =
Click here to see answer by Alan3354(69443) About Me 

Question 1088760: If S={a,b,c,d,e,f,g}
B={c,d,e,f}
C={a,b,c,d}
Explain the following laws of set algebra.

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Question 1088760: If S={a,b,c,d,e,f,g}
B={c,d,e,f}
C={a,b,c,d}
Explain the following laws of set algebra.

Click here to see answer by ikleyn(52780) About Me 

Question 1088763: If S={a,b,c,d,e,f,g}
B={c,d,e,f}
C={a,b,c,d}
Explain the following laws of set algebra

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Question 1089497: Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 7>, v = <9, 7>

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Question 1089497: Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 7>, v = <9, 7>

Click here to see answer by ikleyn(52780) About Me 

Question 1089496: Determine whether the vectors u and v are parallel, orthogonal, or neither.
u = <6, -2>, v = <2, 6>

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Question 1089496: Determine whether the vectors u and v are parallel, orthogonal, or neither.
u = <6, -2>, v = <2, 6>

Click here to see answer by ikleyn(52780) About Me 

Question 1089563: (A union B)=(A union C) & (A intersection B)=(A intersection C) then PROVE THAT B=C

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Question 1090197: Lagos engineering company produced 3 brands A,B and C of cement.To determine marketability of the product,some samples were sent out.The result of the survey revealed that 250 customers liked brand A, 240 customers liked brand B,100 liked brand A only, 50 customers liked brand A and B but not C, 250 customers likes A and B but not C,128 likes C but disliked A or B, 65 customers liked A and C but not B and 17 customers liked none of the brands. you are required to determine (Ai)the number that liked all the brands (ii)the number of customer that liked brand B and C only (iii)the number of customers that were interviewed (iv)the percentage of customers interviewed that liked atleast two of the brands (v)the number of customers that liked A or C but not B (B)if the company is willing to introduce only two brands in the market which brand will you recommend.
Click here to see answer by ikleyn(52780) About Me 

Question 1091269: Suppose Set A contains 60 elements and the total number elements in either Set A or Set B is 151. If the Sets A and B have 8 elements in common, how many elements are contained in set B?
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Question 1091470: According to a survey, 16 people liked ham, 19 liked eggs, 18 liked mackerel, 8 liked mackerel and eggs, 5 liked ham and eggs, 7 liked ham and mackerel, and 3 liked all three foods. (is it possible to see a Venn diagram of this?)
- how many liked only mackerel?
- how many liked at least two of three foods?
- how many liked only one of three foods?
- how many liked eggs and mackerel but not ham?
- how many people were surveyed?
I'm trying to read up on this more, but as my username suggests, I'm still new and having a bit of a hard time. Thanks in advance!

Click here to see answer by ikleyn(52780) About Me 

Question 1092964: in a survey 1/3 like mango only ,22 donot like mango also 2/3 like orange and 12 donot like none of them. find how many like both ?
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Question 1093032: 78 monsters
37 did not select vanilla
33 selected strawberry
68 selected vanilla
7selected strawberry & chocolate
40 selected chocolate 47 selected vanilla or strawberry

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Question 1094279: Define the sets A, B, and C as follows:
A = {1, 2}
B = {tea, Juice}
C = {bacon, toast}.
Write the set A x B x C using roster notation.
I fully understand what Roster Notation is but I'm confused on how to do it with multiple sets.
Would it just be listing every single grouping as in {1,tea,bacon}?

Click here to see answer by Edwin McCravy(20055) About Me 

Question 1094373: It's on sets diagrams, the task is you draw and fill in the ven diagram according to the problem.
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Question 1095621: A survey carried out recently to find the number of applicants that applied for jobs in three newspaper establishments revealed that 70 applied to the daily times,65 applied to the daily graphic,ans 85 applied to the punch.40applied to the daily time only,20 applied to the daily graphic only,while 45 applied to the punch only.if 15 applied to all the three newspaper establishments,find (1) the number that applied to both the daily times and daily graphic (ii) the number that applied to the daily time and the punch(iii) the number that applied to at least one newspaper establishment
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Question 1096102: if a=b-c, then b=a union c
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Question 1096529: what does it mean to express a given set in the roster form?
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Question 1096428: In a survey of the 100 out-patients who reported at a hospital one day, it was found out that 70 complained of fever, and 50 complained of stomach ache and 30 were injured. All 100 patients had at least one of the complaints and 44 had exactly two of the complaints. How many patients had all three complaints?
Click here to see answer by greenestamps(13200) About Me 
Question 1096428: In a survey of the 100 out-patients who reported at a hospital one day, it was found out that 70 complained of fever, and 50 complained of stomach ache and 30 were injured. All 100 patients had at least one of the complaints and 44 had exactly two of the complaints. How many patients had all three complaints?
Click here to see answer by ikleyn(52780) About Me 

Question 1096863:
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Question 1096866: The members of a College staff club were asked to indicate the brand of beer they drink. 5 members drank stars and Trophy beers, 7 members drank star and club beers, 6 members drank starbeer only, 11 drank Trophy beer only while 5 drank club only. Three members drank all the three brands. assuming that each member drank at least one brand of beer, Find
i, the number of members that drank star beer
ii, the number of members that drank Trophy beer
iii, the number of members that drank club beer
iv, the total number of members in the club
Please with calculations....I really appreciate

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

Question 1097801: In a class if 200 students, 100 study Art, 70 study Biology and 46 study chemistry. 30 study Art and Biology, 28 study Biology and chemistry.If 18 student study all the three subject, illustrate the information on a venb diagram and find I) the number of student who do not study any of the three subject.ii) the number of student who study only Art, only Biology, only chemistry. iii)How many student study only Art and Biology, only chemistry and Art, only biology and chemistry
Click here to see answer by richwmiller(17219) About Me 
Question 1097801: In a class if 200 students, 100 study Art, 70 study Biology and 46 study chemistry. 30 study Art and Biology, 28 study Biology and chemistry.If 18 student study all the three subject, illustrate the information on a venb diagram and find I) the number of student who do not study any of the three subject.ii) the number of student who study only Art, only Biology, only chemistry. iii)How many student study only Art and Biology, only chemistry and Art, only biology and chemistry
Click here to see answer by ikleyn(52780) About Me 

Question 1097796: In a class if 200 students,
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Question 1099274: Given the set {1,1,2,4,7,13,24,44,81}, how many integers between 3 and 85 cannot be written as the sum of three elements in the set?
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Question 1099274: Given the set {1,1,2,4,7,13,24,44,81}, how many integers between 3 and 85 cannot be written as the sum of three elements in the set?
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Question 1099272: How many different integers can be represented as a sum of four distinct numbers chosen from the set ?
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Question 1099272: How many different integers can be represented as a sum of four distinct numbers chosen from the set ?
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Question 1099657: The odd integers are arranged into sets, each succeeding set continuing from the previous, and containing one more number as follows: {1},{3,5},{7,9,11},{13,15,17,19},... what is the sum of the numbers in the set that has last number 1259?
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Question 1101659: A company that specializes in language tutoring lists the following information concerning its English-speaking employees: 23 employees speak German; 25 speak French; 31 speak Spanish; 43 speak Spanish or French; 34 speak French or German; 46 speak German or Spanish; 8 speak Spanish, French, and German; and 7 speak English only. (Round your answer to one decimal place.)
Click here to see answer by ikleyn(52780) About Me 
Question 1101659: A company that specializes in language tutoring lists the following information concerning its English-speaking employees: 23 employees speak German; 25 speak French; 31 speak Spanish; 43 speak Spanish or French; 34 speak French or German; 46 speak German or Spanish; 8 speak Spanish, French, and German; and 7 speak English only. (Round your answer to one decimal place.)
Click here to see answer by richwmiller(17219) About Me