Subjective Type

If $$A = \{3, 6, 9, 12, 15, 18, 21\}, B = \{ 4, 8, 12, 16, 20 \},$$ $$C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}, D = \{5, 10, 15, 20 \};$$ find (i) $$A -B$$ (ii) $$A- C$$ (iii) $$A- D$$ (iv) $$B- A$$ (v) $$C- A$$ (vi) $$D- A$$ (vii) $$B- C$$ (viii) $$B- D$$ (ix) $$C- B$$ (x) $$D- B$$ (xi) $$C- D$$ (xii) $$D- C$$

Solution

$$A = \{3, 6, 9, 12, 15, 18, 21\}$$
$$ B = \{ 4, 8, 12, 16, 20 \}$$
$$C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$$
$$ D = \{5, 10, 15, 20 \}$$

(i) $$A - B = \{3,6,9,15,18,21\}$$
(ii) $$A - C = \{3,9,15,18,21\}$$
(iii) $$A - D = \{3,6,9,12,18,21\}$$
(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) $$B - D = \{4,8,12,16\}$$
(ix) $$C - B = \{2,6,10,14\}$$
(x) $$D - B = \{5,10,15\}$$
(xi) $$C - D = \{2,4,6,8,12,14,16\}$$
(xii) $$D - C = \{5,15,20\}$$

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