• We will chake the answer
Exercises 1.3Chake Answer Page 12
1. Geven A = {2,{4,5},4} each of the follwing is True (T) or False (F)
A}5,4){1
A}5,4){2
A}}5,4){{3
A5)4
A}5){5A}5){6
False False
False
False
True
True
Exercises 1.3 Page 12
2. Write down all the subset Each of the following
1.{1}
2.{1,2}
{1}, { }
{1}, {2}, {1,2}, { }
Chake Answer
Exercises 1.3 Page 12
2. Write down all the subset Each of the following
3.{-1,0,1} {-1}, {0}, {1}, {-1,0}, {-1,1}, {0,1}, {-1,0,1}, { }
Chake Answer
Exercises 1.3 Page 12
3. Write down Power sets Each of the following
1.{5}
2.{0,1}
Chake Answer
{{5}, { }}
{{0}, {1}, {0,1}, { }}
Exercises 1.3 Page 12
3. Write down Power sets Each of the following
3.{2,3,4}
Chake Answer
{{2}, {3}, {4}, { }}{2,3}, {2,4}, {3,4}, {2,3,4},
Exercises 1.3 Page 12
4. Given A = {1,2,3,4} Write the subset from one element , and two elements
Chake Answer
Subsets formed from one element is
Subsets formed from two elements are
{1}, {2}, {3}, {4}
{1,2}, {1,3}, {1,4}, {2,3}, {2,4} {3,4}
Example
Given A = {1,2,3,4} and B = {3,4,5,6} , Write the Venn Diagrams
A B
1
2
3
4
5
6
U
Example Given U= {a,b,c,…,z} and A = {a,b,c,d} B = {e,f,g},andC={h,i,j,k} Write the Venn Diagrams
ab
c d
A B
ef
gC
hi
j k
Example Given U = {x:x natural number less than 20}
B = {x:x positive odd number less than 7}A = {x:x natural number less than 7}
Write the venn diagrams SolutionsU = {1,2,3,…,19} A = {1,2,3,4,5,6} B = {1,3,5}
A
B
U
1
23
4 5
67
8
9…
19
Venn Diagrams Venn Diagrams are visual representations regarding the Relationship between sets
The universal set U is shown by a rectangle , subset of the Universal set are drawn as ovals or circles inside the rectangleAnd arae usually labelled with a capital letter
AU
For example U= {all cars}A
U
A= {red cars}
The circular region A in the Venn diagram represents the set of red cars which are not red are represented by the green region
The following Venn diagrams show how two sets A and B(which are subsets of U) can be related
AU
B
Set B is a subset of set A , so B is drawn inside A
AUB
Some elements are common to both sets A and B
A UB
The two sets do not have common elements.
Exercises 1.3 Page… 13Home work
5.Which the following given that U is a natural Number , draw a Venn diagrams
1. A={1,2,3,4,…,10}
B={1,3,5,7,9}
2. A={1,2,3,4,…,10}
B={1,3,5,7,9}
C={1,3,5}
3. A={1,2,3,4,…,10}
B={1,3,5}
C={2,4,6}
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Teacher Mr.Chawang
Stand SW 100
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