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31 Answered Questions for the topic Set Theory

Set Theory Calculus


Set Theory Question

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


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
Set Theory Music Theory Theory


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


State the number of elements in the set, if possible

A={×:×∈Ζ, -6<×≤4}
Set Theory Discrete Math


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


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


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


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
Set Theory Functions Mathematics


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


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

Convert it into roster form. 
Set Theory


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


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


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


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

87 read Journal, 74 read Business, 88 read Times, 56 read Journal and Business, 55 read Business and Times, 67 read Journal and Times, 42 read all 3. 1. How many read only the Wall Street... more
Set Theory Math Discrete Math


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
Set Theory


Is it possible to find different combinations of subsets which cover the original set?

for example if A = {a,b,c} then all possible subsets are {a}, {b}, {c}, {a,b}, {a,c}, {b,c},{a,b,c} and combinations of subsets which cover the original set are: {{a},{b,c}} and {{a},{b},{c}} and... more
Set Theory


What is the set of northeastern states NE ?

thats pretty much it 
Set Theory


Think about R the set of real numbers. Are there any exceptions for any of its subsets being uncountable? If they exist, what are they?

Professor says this question is a lot simpler than I think 
Set Theory


Show that a subset with K elements has 2^k possible subsets

set theory 
Set Theory


Let's say you have your email has a set total of 315 total messages how many subsets can you possibly create

This is a set theory problem my teacher say its easier than I think but I don't understand. 
Set Theory Number Theory Abstract


principal ideal ring

Suppose thatR=R1⊕R2⊕…….⊕Rnwhere each Ri is a principal ideal ring. Verify that R is also a principal ideal ring.   please I want help with that  
Set Theory


Let A and B be subsets of U, n(U) = 100, n(A union B)' = 37, n(B-A)=40. Find n(A).

I can't find an example of how to solve when n(A) and n(B) are not given. Please help.
Set Theory


i have deficulty with this three questions that I need to solve and really need help as soon as possible

Let U={w, x, y,1, 2, 3} , A ={2, y} , B = {x, y, 3}, C ={w, y,1}   Find AU B' Find n(B-A)  find AXB

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