Find Difference of Sets A, B, C and D
Let \[ A=\{3,6,12,15,18,21\} \] \[ B=\{4,8,12,16,20\} \] \[ C=\{2,4,6,8,10,12,14,16\} \] \[ D=\{5,10,15,20\} \] Find:
(i) \(A-B\)
(ii) \(A-C\)
(iii) \(A-D\)
(iv) \(B-A\)
(v) \(C-A\)
(vi) \(D-A\)
(vii) \(B-C\)
(viii) \(B-D\)
Solution
(i) \[ A-B=\{3,6,15,18,21\} \]
(ii) \[ A-C=\{3,15,18,21\} \]
(iii) \[ A-D=\{3,6,12,18,21\} \]
(iv) \[ B-A=\{4,8,16,20\} \]
(v) \[ C-A=\{2,4,8,10,14,16\} \]
(vi) \[ D-A=\{5,10,20\} \]
(vii) \[ B-C=\{20\} \]
(viii) \[ B-D=\{4,8,12,16\} \]