180 Answered Questions for the topic Sets

Sets

06/28/18

Is family members is an example of set

Define set
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 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... more

06/06/18

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... more
Sets

05/07/18

Prove that for any two sets A and B,,A'-B'=B-A

I want the solution of this question
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... more

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... more
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... more

01/25/18

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... more

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... more

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... more
Sets

01/11/18

n(AuB) if a = 2,3,4 and b = 3,5,7

i want to know the mean of the above equation..   

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}.   ... more

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... more

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... more
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
Sets

10/27/17

Number of subsets for {7,19,4,20}

Subset for {7,19,4,20}

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