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what is set - builder form and roster form

what is the formula of n(A-B) and n(B-A)

## What will be the best reference books for class 11 cbse?

A and B are two sets then prove that A minus B union B is equal to A union B.

can anyone provide me with class 11 c++ sumita arora solutions

if A intersection B dash is equal to null set, then show that A is equal to A intersection B, and hence show that A is a subset of B. please help.

prove A-B = A intersection B complement

prove that (A-B) U (B-A) =(A U B) - (A intersection B)

how to proof de morgan's law step wise

Two finite sets have m and n elements. The total number of subsets of the first set is 112 more than the total number of subsets of the second set. Find the valuesof m and n.In a survey of 100 students, the number of students studying the

various languages were found to be English only 18, English but not

Hindi 23, English and Sanskrit 8, English 26, Sanskrit 48, Sanskrit and

Hindi 8, Number of no language 24. Find

i) How many students were studying Hindi?

ii) How many students were studying English and Hindi ?

1.A survey of 500 television viewers produced the given information;285 watch football;195 watch hockey;115 watch cricket;70 watch football and hockey;45 watch football and cricket ;50 do not watch any of three games.How many watch exactly one of the three games ?

write in set builder form

{-4,4}

In an exam, 80% passed in math, 72% passed in science, and 13% failed in both, If 312 students passed in both the subjects. Find the total number of students who appeared in the exam.

Complaints about a students hostel mess fell into three categories. Complaints about mess(M), food(F) and services(S). the total number of complaints received were 173 and were as follows: n(M) = 110, n(F) = 55, n(S) = 67, n( M F S!) = 20, n( M S F!) = 11, n( F S M!) = 16. Determine the number of complaints about i) all the three ii) about two or more than two

what is the formula for n(AUBUCUD) /

write the set in set builder form S=( 1,3,9,27)

let S be a set with 100 elements how many subsets does S have which contain atleast 50 elements?????

If A and B be two sets containing 3 and 6 elements respectively, what can be the minimum number of elements in A ∪ B ? Find, also the maximum number of elements in A ∪ B ?

What is an arbitrary element of a set? Explain.

Draw Venn diagrams of :-

1. A-(BUC)

2.AU(B∩C)

a college awarded 38 medals in football,15 in basketball and 20 in cricket . if these medals went to a total of 58 men and only 3 men got medals in all three sports ,how many received medals in exactly 2 of the sports

prove that :

A-(BnC)=(A-B)U(A-C)

Show that AUB(A union B) = A Intersection B implies A=B.

1. In a town of 10,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% buy C. 5% buy AB, 3% buy BC and 4% buy AC. If 2% families buy all the three, find the number of families which buy i) A only ii) B only iii) none of A,BC.

a survey shows that 63% of americans like cheese whereas 76% like apples.If x% of americans like both cheese and apples,find the value of x.

rnplz explain in very a easy step.....

state whether true or false? {a} belongs to { a,b,c} pls explain your answer.

3.In a survey of 25 students, it was found that 15 had taken mathematics,12 had taken Physics and 11 had taken chemistry.5 had takenMathematics and Chemistry,9 had taken mathematics and Physics,4 had taken Chemistry and Physics and 3 had taken all the three subjects. Find the number of students that hadplz answr urgently -

A set of all integers greater than 5 and less than 9represent in set builder form,so can we write it as:-

{x : x∈Z, 5<x<9 }

sir can you prove the de morgan's law using venn diagram?

Let A ={x:x

^{3}+1=0};B={x:x^{2}-x+1=0} .Find A(intersection) B when (i) x is real (ii) x is not real.n7. In a survey of 100 people it was found that 28 read magazine A, 30 read magazine B, 42 read magazine C, 8 read magazines A B, 10 read magazine AC 5 read magazine B and C and 3 read all the three. Find:i) How many read none of the magazines?ii) How many read magazine C only?

## Best books for cbse class 11 commerce students?

(

A-B) U (B-C)suppose A

_{1}, A_{2},....,A_{30}are 30 sets each with 5 elements and B_{1}, B_{2},...., B_{n}are n sets each with 3 elements. let union ofA_{1}, A_{2},....,A_{30}= union ofB_{1}, B_{2},...., B_{n}=S. Each element of S belongs to 10 of A's and 9 of B's. find n.WHAT DOES IT MEAN????????????

wat are d uses of sets in our daily life?

In a school there are 200 students. 100 play cricket, 50 play hockey and 60 play basketball.30 students play both cricket and hockey, and 35 play both hockey and basketball. 45 play both basketball and cricket.

Find Out:-

a.)What is the maximum number of students who play at least one game?

b.)What is the maximum number of students who play all the three games?

c.)What is the minimum number of students playing atleast one game?

d.)What is the number of student playing all the three games?

in a certain school 40% of the pupils play basketball , 25% play volleyball , and 10% play basketball and volleyball . what percentage of the pupils in the school play neither play basketball nor volleyball . display with venn diagram

IN A TOWN OF 10,000 FAMILIES IT WAS FOUND THAT 40% FAMILIES BUY NEWSPAPER A, 20% FAMILIES BUY NEWSPAPER B , AND 10% FAMILIES BUY NEWSPAPER C, 5% FAMILIES BUY A AND B , 3% BUY B AND C AND 4% BUY A AND C .IF 2% FAMILIES BUY ALL THE NEWSPAPERS FIND THE NUMBER OF FAMILIES WHICH BUY

1. A ONLY 2. B ONLY 3. NONE OF A ,B , AND C.

IF P(A)=P(B) SHOW THAT A=B

cream, 49 like tea, 41 like coffee, 62 like ice-cream. 25 persons like tea and coffee both, 18 persons like coffee and ice-cream both and 17 persons like both tea and ice-cream. Find the number of persons who like all the three items.

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Hi

Prove That : cos6A = 32cos^6A - 48cos^4A + 18cos^2A - 1.

A*B = $\left(A\cap B\right)\cup \left(\left(X-A\right)\cap \left(X-B\right)\right).$

Then only one of the following statements is true. Which one is it?

A. A*(X-B) $\subset $A*B and A *(X-B) $\ne $ A*B

B. A*B = A*(X-B)

C. A*B$\subset $(X-B) and A*B $\ne $ A*(X-B)

D. X - (A*B) = A*(X-B)

There are 20 students in a chemistry class and 30 students in a physics class. find the number of students which are either in physics or in chemistry class in the following cases:

a)two classes meet at the same hour. (hint: n(C∩P) =Φ)

b)The two classes meet at different hours and 10 students are enrolled in both the courses. (hint: n(C∩P)=10)

In a survey of 400 students in a school ,100 were listed as taking apple juice ,150 were listed as taking orange juice and 75 were listed as taking both apple as well as orange juice .Find how many students were taking neither apple juice nor orange juice.

Write in set builder form.

B= {23,29,31,37,41,43,47}

Verify De Morgan's law by using venn's diagram.

If U is the set of all digits in our decimal system ,A={x:x is prime} B={x:x^2 <25}

find (AUB)'

prove that A intersection (B-C) = (A intersection B) - (A intersection C)

[5,7,11,13,17] ........describe this in set builder form

a and b are two sets such that

n(a-b)=20+x

n(b-a)=3x

n(a∩b) =x+1 if n(a)= n(b)

the value of x

If x belongs to A and A belongs to B, then x Belongs to B? Determine whether true or false and explain.

answer is:-

False, Consider A = {{1},2}

clearly, 1belongs to A and A belongs to B but 1 doen't belong to B

So, x belong to A and A belongs to B need not imply that x belongs to B.

SIr Please explain and give suitable example to make me understand.show that if ais A subset B,Then C-B is subset of C-A

draw venn diagram for :- a) A intersection ( B U C ) b) A U ( B-C)

Q1if A,B,C are three sets then proove that A∩(BC)=(A∩B)(A∩C)

Q2let A,B, and C be the sets such that AUB=AUC and A∩B=A∩C show that B=C

for what value of x {x=x^2;x belongs to R}

for that your answer is

We have,

x^{2 }=x⇒x^{2 }-x= 0 ⇒x(x- 1) = 0 ⇒x= 0 or 1So there are two values of

xthat is 0 and 1 as both of them belongs to RWhat if we take 1=x/x^2 and if we substitute x=0 then it becomes 1/0 which is undefined.

Please explain why x=0

Let A,B,and C be the sets such that AUB

= AUC and A intersection B and A intersection B = A intesection C show that

B=C

Using properties of sets prove the statements given:-

(i) For all sets A and B, AU(B-A) = AUB

(ii) For all sets A and B, A-(A-B) = AintersectionB

(iii) For all sets A and B, (AUB)-B = A-B

How do we prove it without using the Venn diagram?

using venn diagram , show that (A-B) , (A intersect B) and (B-A) are disjoint sets , taking A={2,4,6,8,10,12} and B ={3,6,9,12,15}

In a beauty contest, half the number of judges voted for Miss A, 2/3 voted for Miss B, 20 voted for both and 6 did not vote for neither Miss A nor Miss B. Find how many judges , in all, were present there?

Find the solutions of the x3-6x2+11x-6}

bhak ye sab kya satta batta kar raha hai?

In a class 18 students took physics, 23 took chemistry, 24 took maths, out of them 13 took chemistry and mathematics, 12 took physics and chemistry, 11 took physics and mathmetics. if 6 were offered all the three subjects find :

1. Total number of students in class

2. How many took maths but not chemistrty

3. How many took exactly one of the three subjects

What is the difference between

andbelongs to?subsetin a class of 60 students,23 play hockey,15 play basketball,20 play cricket and 7 play hockey and basketball,5 play cricket and basketball,4 play hockeyand cricket,15 do not play any of the three games. find the number of students who

1- play all the three games

2-play hockey but not cricket

3-play hockey and cricket both,but not basketball

Out of 2000 employees in a office 48 % preferred cofee, 54% liked tea , 64% used to smoke . Out of th etotal employee 28% used cofee and tea , 32% used tea and smoke and 30% prefered cofee and smoke and only 6% did none of these . The number having all th ethrree is ?

BADin the 1st term exam of my 11th. I know, it is because i lacked practise cause iSTOPPED TUITIONSafter my 10th (because most of the tuitions which i had gone, was filled withCHAOTICatmosphere, much like a classroom,... as a result, i wasnt able to do much within that hour, and i felt it was just a waste of time). Because i used to complain this thing always, nonstop, my parents got angry and stpped it finally. but i now realize that tuitions r simply necesasary in my case. Cause there isnt anyone who could provide me with assignments or practise sheets (srsly evryon is kinda jealous. simply my friends wont) or tell me which questions r important. Neither teachers at school r teaching properly. I understand nothing and my notes r just incomplete. Before tuition notes were there and it was more than sufficient to revise, now i dont have that.I GROW more and more Depressed at school just because i dont understand at class. after the exams, i was depressed a lot and stopped studying like a kind of punishment to myself.i dont know y, my mind was like that. when vacations started, I thought, i planned, i'LL FINISH THE PORTION TILL HOW MUCH IT HAD BEEN TAKEN AT SCHOOL.... BUT SOON REALISED I WAS ABLE TO DO IT... as u know, parents start planning for vacation, shopping happens, my brother came from india, and morning is the only time left 4 me to study and i wasted it by sleeping. NOW meritnation is the only thing i find time to study cause in order to attend the class at evening, i need to see the recordings. nothing else is possible. AND WHATS THE CASE WITH MERITNATION? chapters r finishing so rapidly that i dont have time to do even 1 or 2 questions from the chapter from the guide. MY GUIDE LAYS THERE USELESS. im a slow learner first of all and i only get to understand the CONCEPT AND NO TIME FOR PRACTISE. pls someone advice me. I know theres enough and sufficient time in a day but the thing is that i dont use it wisely. i have THIS HABIT OF THINKING OF MYSELF AS A LOSER AND THAT I'LL FAIL IN EXAMS . I NEED TO GET OVER MY 1ST TERM MARKS AND MOVE ON EFFICIENTLY SOMEHOW.. i know i can do it cause i used to score high marks...BUT PROCRASTINATION AND HOPELESSNESS DRIVES ME DOWN.what is set ?

In agroup of people, each of whom speaks atleast one of the languages English,Tamil,Malayalam.31 speak E,36 speak T,27 speak M &10 speakE&T,9 speak E&M,11 speak T&M .What is the minimum number of people in the group.

How can we write the set builder form for fibonacci series

what is an improper subset?

in a class of 25 student , 12 have taken maths,8 have taken maths but not biology.find the number of student who are taken maths and biology and the number of those who have taken biology but not maths .each student have taken either maths or biology or both?

Two finite sets have m and n elements. The total no. of subsets of the first set is 56 more than that of the total no. of subsets of the second set. Find the values of m and n.

At a certain conference of 100 people there are 29 Indian women and 23 Indian men . Out of these Indian people 4 are doctor and 24 are either men or doctors . There are no foriegn doctors. The number of women doctors attending the conference is ?