Question

If U = {1, 2, 3, 4 ... 20} A = {1, 2, 3, 4, 5}
B = {3, 7, 9, 11} c= {5,7,9, 15, 18 } then
(A-B)¹
(b) (A (BUC)¹)
find​

Answer 1

Answer:

Step-by-step explanation:

a)

(A-B)

= {1 2 3 4 5} - {3 7 9 11}

= {1 2 4 5}

(A-B)' = U - (A-B)

        = {1 2 3 4 .... 20} - {1 2 4 5}

        = {3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20}

b)

(B U C) = {3 7 9 11 }  U  {5 7 9 15 18}

       = {3 5 7 9 11 15 18}

(B U C)' = U - (B U C}

            = { 1 2 3 4 .... 20} - {3 5 7 9 11  15 18}

            = {1 2 4 6 8 10 12 13 14 16 17 19 20}

AU(BUC)' = {1 2 3 4 5} U {1 2 4 6 8 10 12 13 14 16 17 19 20}

               = { 1 2 3 4 5 6 8 10 12 13 14 16 17 19 20}