Question

if A = {4,5,6} and B = {x : x = W and x < 5} find 1. A union B 2. A intersection B 3. A-B 4. B-A

Answer 1

Answer:

A union B (A U B)= {0,1,2,3,4,5,6}

A intersection B {A n B} = {4}

A-B ={5,6}

B-A={0,1,2,3}

Answer 2

Step-by-step explanation:

Given:-

A = {4,5,6} and B = {x : x = W and x < 5}

To find:-

Find the following:

1. A union B

2. A intersection B

3. A-B

4. B-A

Solution:-

Given sets are :

A = { 4,5,6 }

B = { x : x = W and x < 5}

B= { 0,1,2,3,4 }

i) A U B :-

AUB = { 4,5,6 } U { 0,1,2,3,4 }

AUB = {0,1,2,3,4,6}

ii) A n B:-

AnB = { 4,5,6 } n { 0,1,2,3,4 }

AnB = {4}

iii) A - B:-

A-B = { 4,5,6 } - { 0,1,2,3,4 }

A-B ={5,6}

iv)B - A:-

B - A = { 0,1,2,3,4} - {4,5,6}

B - A = { 0,1,2,3}

Answer:-

1) AUB = {0,1,2,3,4,6}

2) AnB = {4}

3) A-B ={5,6}

4) B - A = { 0,1,2,3}

Used Concept:-

• AUB is the set of elements in either A or in B or in both.

• AnB is the set of common elements in both A and B.

• A-B is the set of elements in only A

• B-A is the set of elements in only B .

• Whole numbers = 0,1,2,3,4,...