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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

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