Subjective Type

If $$A= \{1,2, 3, 4\}, B = \{3, 4, 5, 6\}, C = \{5, 6, 7, 8\}$$ and $$D = \{ 7, 8, 9, 10\}$$; find (i) $$A \cup B$$ (ii) $$A \cup C$$ (iii) $$B \cup C$$ (iv) $$B \cup D$$ (v) $$A \cup B \cup C$$ (vi) $$A \cup B \cup D$$ (vii) $$B \cup C \cup D$$

Solution

$$A=\left \{1,2,3,4\right \}, B=\left \{3,4,5,6\right \}, C=\left \{5,6,7,8\right \}$$ and $$D=\left \{7,8,9,10\right \}$$
(i) $$A\cup B=\left \{1,2,3,4,5,6\right \}$$
(ii) $$A\cup C=\left \{1,2,3,4,5,6,7,8\right \}$$
(iii) $$B\cup C=\left \{3,4,5,6,7,8\right \}$$
(iv) $$B\cup D=\left \{3,4,5,6,7,8,9,10\right \}$$
(v) $$A\cup B\cup C=\left \{1,2,3,4,5,6,7,8\right \}$$
(vi) $$A\cup B\cup D=\left \{1,2,3,4,5,6,7,8,9,10\right \}$$
(vii) $$B\cup C\cup D=\left \{3,4,5,6,7,8,9,10\right \}$$

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