6. If A = {x' : = 6n, neW and n<6}, B = {1 : = 21, n eN and 2<n<3)
C = {w: 2= 3n, n eN and 4<n<10), then show that A - (BnC)=(A - B)U(A- C
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A => {0,6, 12, 18, 24, 30}
B => {6,8, 10, 12, 14, 16, 18)
C=> {12, 15, 18, 21, 24, 27
B ∩ C => {6, 8, 10, 12, 14, 16, 183 n {12, 15, 18, 21, 24, 27}
=> {12, 18}
A - (B ∩ C) => {0,6, 12, 18, 24, 30} - {12, 18}
=> {0, 6, 24, 30} ............(1)
A - B => {0,6, 12, 18, 24, 30} - {6, 8, 10, 12, 14, 16, 18}
=> {0, 24, 30)
A - C => {0, 6, 12, 18, 24, 30} - {12, 15, 18, 21, 24, 27}
=> {0, 6, 30}
(A - B) ∪ (A - C) => {0, 24, 30} U {0, 6, 30}
=> {0,6, 24, 30} ..............(2)
From (1) and (2) we get A - (B ∩ C)=(A - B) ∪ (A - C).
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