39 Answered Questions for the topic Set Theory

10/05/21

#### Is this website correct about p(∅)?

I am learning about power sets.I know that p(∅) = {∅} or {{}}.That is a little confusing to me, so I used an online calculator (https://www.mathsisfun.com/sets/power-set-maker.html). After putting... more

10/21/20

#### Set Theory and Lists

If A = {b, {b}, ∅} how would we use list notation to write {B: B ⊆ A and B ≠ ∅} If you could explain what I need to do to solve this that would be much appreciated.

05/31/19

#### how to proof (a union b) intersection (a union b compliment) = A

Set Theory Calculus

05/13/19

#### Set Theory Question

Prove f(a1∩f^-1(b2)=f(a1)∩b2
Set Theory Algebra 2 Inequalities

05/01/19

#### Problem on two variable polynomial inequalities (Probably a diophantine inequality !!)

Consider the sets defined by the real solutions of the inequalities :A = { ( x , y ) : x2 + y4 ≤ 1} B = { ( x , y ) : x4 + y6 ≤ 1}Then... more

03/18/19

#### What are ways to use the palindromic property of a palindromic scale?

A palindromic scale, as I've seen it described on a number of music theory websites, is defined as one whose sequence of intervals is the same when ascending and descending. For instance: D Dorian... more
Set Theory

03/12/19

#### If a and b are mutually exclusive events with p(A) =0.3 ,p(B)= 0.5 ,then p(AUB) is equal to what ?

Set Theory

11/28/18

Sir why continuum hypothesis isn't falsifiable. It states that "There is no set whose cardinality is strictly between that of the integers and the real numbers"; so can't we make a set which... more
Set Theory

10/01/18

#### State the number of elements in the set, if possible

A={×:×∈Ζ, -6<×≤4}

09/10/18

Bernard, who is a genius and very wealthy, owns one thousand cars, each of which is numbered with a different natural number from 1 to 1000. He invites 1000 people to a party, and he makes each... more
Set Theory Discrete Math

06/30/18

#### Set builder notation translation and cardinality

Given the following:S = {(A, B) | A ⊆ {1, 2, . . . , n}, B ⊆ {1, 2, . . . , n}, |A ∩ B| ≥ 1}, how can I translate this in terms of english and how would one go about finding the cardinality of the... more
Set Theory Sets

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.
Set Theory

04/28/18

#### on set theory

Every resident of a city can speak Hindi or English. If 75 % of the population speaks Hindi and 60% speaks English, then what percentage can speak both the languages ?
Set Theory Math Logic Proofs

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

01/08/18

#### Define two functions c(x) = max{x - a,0}, p(x) = max{a-x,0}. Prove that c(x) - p(x) = x - a

Define two functions c(x) = max{x - a,0}, p(x) = max{a-x,0}. Prove that c(x) - p(x) = x - a

01/08/18

#### Let X: [0,1] being in all real numbers be given by X(x) = max{x-0.5,0}. Find the inverse images of all intervals [a,b]

Let X: [0,1] being in all real numbers be given by X(x) = max{x-0.5,0}. Find the inverse images of all intervals [a,b] Due to lack of examples related to the theory, I am unable to properly write... more
Set Theory

12/23/17

#### J={x|x 4 - 2x is less than equal to 10 ^ x € z}

Convert it into roster form.
Set Theory Math Proofs

11/20/17

#### I need help with writing a proof about cardinality. Please look at description for more detail.

Let N^N(Nautral Numbers)={f:f|N->N}.   a. Give two elements of N^N   b. Prove that Aleph Zero <|N^N|
Set Theory

06/28/17

#### Venn diagram word problem

A survey of 100 school children was taken to determine how they liked their ice cream. It was found that: 55 like vanilla,90 liked at least one of the flavors 50 do not like chocolate,35 liked... more
Set Theory Natural Numbers

04/20/17

#### Dont understand natural number+ symbol. what does it mean

I know and understand what natural numbers are, but what does it mean when the natural number symbol has a + at the top, in the position the squared number would be. Can't seem to find information... more
Set Theory

03/21/17

#### Of 540 students, 335 like hamburgers and 287 like hotdogs. 220 like both.

1. How many students don't like either? 2. ~hamburgers=
Set Theory

03/21/17

#### In a survey 113 business executives were asked if they regularly read the Wall Street Journal, Business Week, and Tampa Bay Times.

Set Theory Venn Diagram

01/28/17

#### U = {1,2,3,4,5,6,7,8,9} A={1,3,5,7,9} B= {1,2,3,4,5} C = {1,2,5,8,9} what is AUB' = . and what does A'n C = and what is A U A'

how do i solve this
Set Theory Math Discrete Math Sets

01/27/17

#### Discrete Math / Set Theory - Proof

Hi I have 2 problems that I need to say whether or not they are true or not and then write a proof for my answer. I am really struggling and could use a little help thank you   1)        (X ⊆ Y... more

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