180 Answered Questions for the topic Sets
Sets Set Theory
06/25/18
If A and B are subsets of the universal set U , then show that
A⊂B⇔A∪B=B , without the use of Venn-Euler diagram.
Sets Power Set
06/21/18
If n(A)=n, then what is the number of the non empty subsets of A.
What is the number of the non empty subsets of A, If n(A)=n?
Sets
06/15/18
In senior highschool, 35% of the students are girls. If there are 300 fewer girls than boys, find the total number of students in the school.
this is a problem solving of a set.
06/11/18
Sets involving fractions
A number of tourists were interviewed on their choice of means of travel. 2 thirds said that they traveled by road, 13/30 by air and 4/15 by both air and road.
How many tourists were...
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How do I prove that a set of closed sets is itself closed.
Hi, I have been asked the following but am struggling.
Let {Ωa : a ∈ I} be an arbitrary family of closed sets Ωa ⊆ Rd with an index set I. Prove that
∩ Ωa
a ∈ I
is a closed...
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Sets
04/23/18
Sets question
In a class of 60 students, 40 students like math, 36 like sciences, 24 like both the subjects. Find the students who like a) either math or science b) neither math nor science
Sets
03/13/18
Problems regarding sets
In a survey of 100 students playing various games were found as follows:cricket only 18;cricket but not football23;cricket and badminton 8;cricket 26;badminton48;badminton and football 8 and no...
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03/07/18
A question on convex sets
The definition I’ve been given of convex inequalities is the following:A set A ⊂ Rn is convex if:• For any vectors a, b ∈ A• For any λ ∈ [0,1]• The point λa + (1 - λ)b ∈ AI don’t know what the λ...
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Sets
02/07/18
A committee with 7 senators on is divided into how many sub committees containing three?
A committee of seven senators are divided into sub committees containing three. How many sub committees are there?
Sets
02/06/18
If n(U)=500, n(A)=150, n(B)=300 and n(A∩B)=70, then what is the value of n(A-B)
n(A∩B)
Sets
01/26/18
3 set problem
a supermarket compiled the following information regarding 30 of its employees. 8 worked in the produce department, 9 stacked food on shelves, 18 operated the cash register, 4 worked in the produce...
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Set Theory/Math Logic
Is there any way to prove that
- Every point in A intersect B is greater than or
equal to 1?
- The intersection of two sets has a point in commonwith another set?
If there is no way to...
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01/19/18
Easy but I don't understand! Sets, Venn diagrams
In the figure ξ is the set of all students in Secondary One. (The figure shows a Venn diagram with two overlapping circles. There is only 1 intersection, labeled y. The left circle is represents G...
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01/19/18
Sets (Venn Diagrams) Really need help asap!
There are 35 girls in a class. 18 of these girls are in Dance and 21 girls are in Band. Given that ξ = {Girls in the class} D = {Girls who are in Dance}B = {Girls who are in Band}(i) Find the...
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Sets
01/16/18
in a class of 30 students 22 study physics 19 study chemistry 6 study neither chemistry nor physics. find the number of stduents who study both subjects
its about set and notation book answer is 17
12/10/17
Can you help me find a counterexample to the following;
For a subset x⊆R: 'X is dense in R implies that x∩Q≠Ø
11/30/17
Sets of operation (Checking)
Hello! I just wanted to see if my answer is correct. Would someone please check this..Thanks in advance😀Universal/Union = { a,b,c,d,e,f,g,h}A = {a,b,c,d} A' = {e,f,g,h}B = {e,f,g,h}. ...
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11/15/17
Is f one-to-one? Is f onto? Prove or give a counterexample.
Define f(x) : P({a,b,c}) →N as follows:
for all A ∈P({a,b,c}), f(A) = the number of elements in A.
( P is a power set.)
Is f one-to-one? Prove or give a counterexample.
Is f onto? Prove or give...
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Sets Linear Algebra
11/12/17
Determine if a set is a subspace.
Determine whether the given set is a subspace of P3. Explain why.
A = {p(t) = at^3+bt} Where a and b are both elements of the Reals.
10/31/17
Why is the empty set not a subset of the set of an empty set?
Im wondering, because several sources state that the empty set is a subset of EVERY set. Yet this instance seem to be proving that statement wrong.
Update: To be more specific and clear, the...
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Sets
10/29/17
Roaster form - set of natural numbers whose square root is less than 30
Write in Roaster form - set of natural numbers whose square root is less than 30
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