# Let A = {3, 6, 12, 15, 18, 21},

Question:

Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and 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:

Given:

A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}

(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) $B-D=\{4,8,12,16\}$
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