
Mathematics Tutoring Session #6 (Set Theory [Tue 23rd Feb 2016, 3:00  4:00pm])
Mathematics
Emmanuel Iwara(Tutor)
23022016 11:41:00 +0000Help us improve these tutoring sessions!
We would love to hear back from anyone that participated in this session:
Survey Feedback Link  http://goo.gl/forms/Tasr40Ck1Z Good day all The concept of set theory is the most fundamental in mathematics often tested on JAMB and other exams. so lets take a quick look into this topics.
Set theory  Any collection or well defined list of objects. The objects that make up a set are called its element or members.
Set Representation  A set can be represented in three majors ways;
(a) In a tabular form where its elements are listed and enclosed in brackets. e.g. A = {1, 3, 4}
(b) Set builder form.e.g. B = { x:2≤ x ≤ 8}.
(c) Pictorial method by the use of circles or squares.
The Universal Set  All sets under consideration are assumed to be contained in one big and fixed set called universal set. it is denoted by ⋃ Equality of Set  Consider two non  empty sets A and B. if every element of A is also an element of B and if every element of B is also an element of A.
Then A = B
Power Set This is the number of subsets of a set and is denoted by P(A).The elements of a power set are subsets or sets themselves.
The Cardinality of P(A) = 2^{c}, where c = n(A), the cardinality of A.
Difference Set or Relative Complement of a set  Let A and B be two sets. The difference of A and B or the relative difference of A with respect to B,denoted by AB or A\B
Can Anyone solve the solutions to the problem below;
1. Let A = {x: 2<x < 9, x an integer}, B = {x: 2≤ x ≤ 5}, P = {x:3≤ x ≤ 10,x odd }, find A ∪(B∪P)
2. Let ∪ = { 1,2,3,4,5,6,7,8,9,10}, A ={ 1, 2 , 3, 4}, B ={3, 4,5,6,7}, C = { 4,5,6,7,8}. Find A(B ∩C)
3. Given two non empty sets A and B, find (AB)∩B, and ∪ A
4. If A = {Integer: 1 < x <15}, B = {x: x^{2} =16}, C = {x^{2} + x  6 =0},find
(i) n( A∪B∪C),
(ii) the cardinality of n( A∪B∪C)
5.If n( A∪B) =12, n(A∩B) = 7 and n(B) =9.Find n(A)
**Note that this session begins from 3:00  4:00pm and it focus is on SET THEORY. Before the session begins, you can put down your questions on paper and then ask them when the session officially begins by 3:00pm.

dave legend
What symbols seem missing E.g. 5.n(a b)...is there no symbol between a and b
0 23022016 13:04:00 +0000

Stan Lee
A rectangular has lawn has an area of1815square yards. If its length is 50meters, find its width in metres. Given that 1meters equals 1.1yards
0 23022016 13:04:00 +0000

Emmanuel Iwara(Tutor)
@Adewale please are asking of the symbol in question 5?
0 23022016 14:05:00 +0000

Emmanuel Iwara(Tutor)
@ Emenike if you have read through, then ask or solve the given problem.
0 23022016 14:10:00 +0000

Emmanuel Iwara(Tutor)
@Stanley i will try the best i can to text the solution.thanks
0 23022016 14:12:00 +0000

Emmanuel Iwara(Tutor)
@Abudulrasaq Saheed, thanks, but the correct answer is {1,2,3}
0 23022016 14:21:00 +0000

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