Question

Let
U =
{ 4, 5, 6, 7, 8, 9, 10},
A = {4,6} B= {5,7,10}

1
(a) B'
(b) A'UB'
(c) A'
(d) U'
(e) A'-B'​

Answer 1

Step-by-step explanation:

1. (a) B' = U-B

                  ={4,5,6,7,8,9,10} - { 5,7,10}

                  ={4,6,8,9}

    (b) A' U B'=

    to find this we need to first find A'

      A'= U-A

                ={4,5,6,7,8,9,10} - { 4,6}.

                ={5,7,8,9,10}.

   then A' U B'={5,7,8,9,10} U {4,6,8,9}

                                    ={4,5,6,7,8,9,10}

       (c) A' was found in the previous question so the same thing can be applied.

 A'= U-A

                ={4,5,6,7,8,9,10} - { 4,6}.

                ={5,7,8,9,10}.

      (d)U' = U-U

                      = Φ(phi).(because there is no common element )

       (e) A' - B'= {5,7,8,9,10} - {4,6,8,9}

                      = {5,7,10} = B   ---here remember to take only the values of first set after cancelling.

Hope it helps you:))