Question

if A={1,2,3,4}, B={3,4,5,6} and C={1,2,4,6,7} then find ​

Answer 1

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