Question

If A = { 4 , 5, 8 ,12} B = {1,4,6,9} and C = {1 , 2 ,3 , 4} find (i) A - (B - A) (ii)

A - (C -B).​

Answer 1

Answer:

I. A-B

= (4,5,8,12)-(1,4,6,9)

=(5,8,12)

II. B-C

=(1,4,6,9)-(1,2,4,7,8,10)

=(6,9)

III. A-C

=(4,5,8,12)-(1,2,4,7,8,10)

=(5,12)

IV. A-(B-A)

=(4,5,8,12)-[(1,4,6,9)-(4,5,8,12)]

=(4,5,8,12)-(1,6,9)

=(4,5,8,12)

V. A-(C-B)

=(4,5,8,12)-[(1,2,4,7,8,10)-(1,4,6,9)]

=(4,5,8,12)-(2,7,8,10)

=(4,5,12)

Answer 2

If A = { 4 , 5, 8 ,12} B = {1,4,6,9} and C = {1 , 2 ,3 , 4} find (i) A - (B - A) (ii)

A - (C -B).