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

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Question 974785: what is the set-builder form of B={5,6,7,8,9}

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

Question 975533: Of 50 college students surveyed, 27 owned an iphone(P)39 owned a mac book (M) and 25 owned both,
a. How many students did not own a mac book?
b. How many students owned a mac book but did not own an Iphone?
c. How many students neither an Iphone nor a mac book?
d, How many owned one or the other but not both?

Click here to see answer by Boreal(15235) About Me 

Question 975678: Please help me describe the set of divisors of 36 greater than -5 but less than or equal to 18. by using roaster and rule method.
I tried answering it but I dont know if correct
Roaster method- {1,2,3,4,6,9,12,18}
Rule method- { x/x is a divisor of 36 greater than -5 but less than or equal to 18.

Click here to see answer by stanbon(75887) About Me 
Question 975678: Please help me describe the set of divisors of 36 greater than -5 but less than or equal to 18. by using roaster and rule method.
I tried answering it but I dont know if correct
Roaster method- {1,2,3,4,6,9,12,18}
Rule method- { x/x is a divisor of 36 greater than -5 but less than or equal to 18.

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Question 975907: X={x:x is an even prime numbers}
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Question 975876: Please help me with this ..
In a a group of 60 students ..
34 are members of Music Club
30 are members of Art Club
32 are members of Math Club
25 are members of Art and Music Club
14 are members of Math and Music Club
11 are members of art and math
7 are members of all 3 Clubs
1.How many members in Math club only ?
2.How many members in Music Club only?
3.How many members in Art Club only ?
4.How many members in Art and Music but not members of Math Club?
5.How many are members of both math and music?
6.how many are not members of Math Club?
7.How many students do not belong to any of the three clubs ?

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Question 976234: Let a= -2, b= 3, and c= -1
(c-b)(c+b)

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Question 976591: The list of subjects you are taking right now
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Question 977025: if a:b=2:3 and b:c=2:3 and a:b:c=?

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Question 977661: Please Help me solve this question :
if A= {l,o,v,e,y} and B {w,o,l,v,e,s}, what is A U B ?

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

Question 977795: A is set of whole number less than 0
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Question 977827: there are 40 students. 17 students rode an airplane only, 28students rode boat only, 10students rode train only. 12students rode both airplane and boat. 4students said they rode airplane, 3students rode boat only. how many students have used all three modes of tranportation? how many students have taken only the boat? can you pls show me how to get/calculate cardinality? thank you




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Question 978409: in a group of students 50 passed in english 60 passed in maths and 40 passed in both the exams.find the no.of students who passed either in english or in maths.
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Question 978564: Question 9:
A=the set of all counting numbers; B=the set of all irrational numbers. Find the intersection of Set A and Set B.
Reply with a letter only.
A
A. Set A
B. Set B
C. Set C
D. null set

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Question 980308: What are the set of letters in the word CALCULATORS

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Question 981941: Please help. Find the real solution to:
x%2Bsqrt%28x%29-6=0
Answer: x=4
But how?

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Question 982653: What is U' n (intersect) A if U = {1,2,3,4,5,6} and A = {2,3,6}
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Question 982826: IF U={1,2,3,4,5,6,7,8,9,10},A={1,3,5,7,9}AND B={2,4,6,8}
PROVE A'INTERSECTION B' =(AUB)'



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Question 984479: if A=(2,3,5,7) and B=(5,6,7,8), find A-B and B-A
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Question 984568: Hi! I am finite mathematics and we are studying "sets". Here is my question.
U= {1,2,3,4,5,6,7,8,9,10}
A={1,3,5,7,9}
B={2,4,6,8,10}
C={1,2,4,5,8,9}
QUESTION: (AuBuC)^C

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Question 986702: let U={1,2,3,4,5,6,7,8,9} A={1,3,5,7,9} B={6,7,8,9} C={4,5,6,7}
How many elements are in A U (B intersect C)^1?

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Question 986706: How many subsets exist for set A?
A={1,3,5,7,9}

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Question 986706: How many subsets exist for set A?
A={1,3,5,7,9}

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Question 986710: A set U is partitioned into two subsets, G and H. The number of elements in H is four times that in G. If n(U)=60, find n(H).
Click here to see answer by Fombitz(32388) About Me 
Question 986710: A set U is partitioned into two subsets, G and H. The number of elements in H is four times that in G. If n(U)=60, find n(H).
Click here to see answer by MathLover1(20849) About Me 

Question 987891: 2=6
3=12
4=20
5=30
6=42
9=?

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Question 987963: A={2,4,6,8,10}
B={1,3,5,7,9,}
C={1,2,3,4,5,6}
D={3,4,6,9,}
evaluate it :
1.A UNIVESAL C?
2.B UNIVERSAL C UNION A?
3.B-C
4.D-A
5.(AXD)
6.(A'UNIVERSAL B')'-C
7.(D'-C')' V, (C UNIVERSAL D)'
8.B'(C'-B')'
9.(A'UNIVERSAL B') V (C'UNIVERSL D') UNIVERSAL C
10. (A'-B'-C'-D')'UNION A

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

Question 988691: Suppose that A, B, and C are all subsets of the universal set U. First construct a Venn Diagram for
.
Now answer the following question. Which of the following would have the same Venn Diagram?
 A'∪(B∩C)
 A∩(B'∪C')
 A∩B∩C
 A∩B'∩C'

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

Question 988689: Let U = {3, 4, 5, 6, 7, 8} be the universal set and let A, B, and C be the following subsets:
A = {3, 6, 8}, B = {3, 5, 7}, C = {3, 5}
Compute A ∪ Ø

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Question 988828: Define sets U,A,B as shown below find (AUB)'∩ C
U=(a,b,c,d,e,f,g,h) A=(d,g,h) B=(a,g,h) C=(a,b,c,e,f)

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Question 988827: Let U=(a,b,c,d,e,f,g,h)
A=(a,c,d)
B=(b,c,d)
C=(b,e,f,g,h)
Find the set: (C'∩A)U(C'∩B')

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

Question 989057: Let U= 1,2,3,4,5,6,
A= 1,2,3,4
B= 1,2,5
C= 1,2,3,4,5
Find (AUB)∩C

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Question 991292: if E=(1,2,3,4,6,9,18), x =(2,6,18)and y =(1,3,6) list the element of (xuy)
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Question 991498: in a GROUP OF 60 people, 31 speak french,23 speak Spanish and 14 neither french nor spanish. find the number of students who speak both french and spanish

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Question 992492: if a={1,3,5,7,9} and b={2,3,5,7} what is aUb
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Question 994011: n(U) = 150, n(A) = 90, n(B) = 70, n(A U B)’ = 30
Using the information above find n(A ∩ B)

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Question 999463: 1)IN A CLASS OF 80 STUDENTS 53 STUDY ART,60 STUDY BIOLOGY,36 STUDY ART AND BIOLOGY,34 STUDY ART AND CHEMISTRY 6 STUDY BIOLOGY ONLY AND 18 STUDY BIOLOGY BUT NOT CHEMISTRY. ILLUSTRATE THE INFORMATION IN A VENN DIAGRAM. DETERMINE THE NUMBER OF STUDENTS WHO STUDY ART ONLY, b) CHEMISTRY

2)IN A CLASS OF 100 STUDENT 37 STUDY MATH,32 STUDY PHYSIC and 31 study chemistry,9 study math and physic,12 study math and chemistry,11 study physic and chemistry and 28 student study none of the three subject.Illustrate the information in a venn diagram and find the number of student who study all the three subject (b) the number of student who study only math,only physic and only chemistry (c) how many student study exactly two subject.
3)In a class 30 offer biology,21 offer chemistry and 22 offer physic.15 offer physic and biology,10 offer physic and chemistry,13 offer biology and chemistry,2 offer physic only,3 offer chemistry only and 7 offer biology only.Illustrate this in a vent diagram,find the number of student who offer all three subject (b)in the class (c)if a student is selected at random,what is the probability that he studies either physic or chemistry.
4)In a survey of the 100 out-patients who reported at a hospital one day , it was found out that 70 complained of fever,50 complain 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 the three complaint?

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Question 1000900: 1(a) Given the universal set U={1,2,3,…,9} and the sets
A={1,2,3,4,5}; B={4,5,6,7}; C={1,3,5,7,9}; D={2,4,6,8}.

Find
(i)B-A
(ii)(A-D)c
(iii)(A⋂C)\B

Question 2(a)
Given the functions f and g be defined by f(x) = 5x-4 over
8x-7
and g(x) =3x2-4. Find the formula defining the composition function gοf and fog.

Question 2 (b)
Consider the relation R= {(1,a); (2,d); (3,a); (3,b); (3,d)} and S= {(b,x); (b,z), (c,y); (d,z)}.Find S-1 o R-1


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

Question 1001702: in a recent survey of 400 students in a school, 100 were listed as smokers and 150 as gum chewers. 75 were listed as smokers and gum chewers. find how many students are neither smokers nor gum chewers.
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Question 1003765: If A=B n(A)=42, n(B)=75 find n(AuB)
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Question 1005004: List the elements in the set.
{x I x is a negative multiple of 3}

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Question 1007497: Given the following sets.
A = {0, 1, 2, 3}
B = {a, b, c, d}
C = {0, a, 2, b}
Find A c B
i dont understand that

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Question 1012335: Could you please help me with the following problem,
Use properties of logarithms to expand each logarithmic expression as much as possible.
ln 15(sqrtx)=

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Question 1012484: Guys please Help me solve these two set equation:
1) Let U= {1, 2, 3 ,4, 5, 6}, A= {1, 2, 3, 4}, B= {3, 4, 5,6}, C= {4, 5, 6}
Find (B∪A)’ ∩C
2) Let U= {x: ∈xN, x is even, and 3 ≤ x < 6}
Find n(∪).

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Question 1013331: Let U be a universal set with disjoint subsets A and B; n(U) = 60, n(A) =25, and n(B) = 30. Find n((A U B)')
Click here to see answer by stanbon(75887) About Me