Math, asked by ruchikshirsagar, 10 months ago

if A ={1 ,2,3,4} B,={3,4,5,6}, C={5,6,7,8}, D{7,8,9,10} find1) AUB 2) AUBUC 3) BUCUD 4) are the set A, B ,C, D,equivalent

Answers

Answered by Agastya0606

Given: A = {1, 2, 3, 4} , B = {3, 4, 5, 6} , C = {5, 6, 7, 8} , D = {7, 8, 9, 10}

To find: 1) AUB 2) AUBUC 3) BUCUD 4) are the set A, B ,C, D,equivalent

Solution:

1. A U B = {1, 2, 3, 4} + {3, 4, 5, 6}

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

2. A U B U C = {1, 2, 3, 4} + {3, 4, 5, 6} + {5, 6, 7, 8}

A U B U C = {1, 2, 3, 4 , 5, 6 , 7, 8}

3. B U C U D = {3, 4, 5, 6} + {5, 6, 7, 8} + {7, 8, 9, 10}

B U C U D = { 3, 4, 5, 6 , 7, 8 , 9 , 10 }

4. Yes, A , B , C , D sets are equivalent because all the sets contains exact same number of elements, i.e 4.

Answer:

So the answers are:

1. {1 , 2 , 3 , 4 , 5 , 6} ,

2. {1, 2, 3, 4 , 5, 6 , 7, 8}

3. { 3, 4, 5, 6 , 7, 8 , 9 , 10 }

4. Yes

Answered by yashsingh8704

Answer:

Step-by-step explanation:

Given: A = {1, 2, 3, 4} , B = {3, 4, 5, 6} , C = {5, 6, 7, 8} , D = {7, 8, 9, 10}

To find: 1) AUB 2) AUBUC 3) BUCUD 4) are the set A, B ,C, D,equivalent

Solution:

Now we have given four sets:

A = {1, 2, 3, 4} , B = {3, 4, 5, 6} , C = {5, 6, 7, 8} , D = {7, 8, 9, 10}

1. A U B = {1, 2, 3, 4} + {3, 4, 5, 6}

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

2. A U B U C = {1, 2, 3, 4} + {3, 4, 5, 6} + {5, 6, 7, 8}

A U B U C = {1, 2, 3, 4 , 5, 6 , 7, 8}

3. B U C U D = {3, 4, 5, 6} + {5, 6, 7, 8} + {7, 8, 9, 10}

B U C U D = { 3, 4, 5, 6 , 7, 8 , 9 , 10 }

4. Yes, A , B , C , D sets are equivalent because all the sets contains exact same number of elements, i.e 4.

Answer:

So the answers are:

1. {1 , 2 , 3 , 4 , 5 , 6} ,

2. {1, 2, 3, 4 , 5, 6 , 7, 8}

3. { 3, 4, 5, 6 , 7, 8 , 9 , 10 }

4. Yes

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