Question:
If A = {a, b, c, d, e, f}, B = {c, e, g, h} and C = {a, e, m, n}, find:
(i) $A \cup B$
(ii) $\mathrm{B} \cup \mathrm{C}$
(iii) $B \cup C$
(iv) $\mathrm{C} \cap \mathrm{A}$
(vi) $A \cap B$
Solution:
Given; A = {a, b, c, d, e, f}, B = {c, e, g, h} and C = {a, e, m, n}
(i) $A \cup B=\{a, b, c, d, e, f, g, h\}$
(ii) $B \cup C=\{a, c, e, g, h, m, n\}$
(iii) $B \cup C=\{a, c, e, g, h, m, n\}$
(iv) $C \cap A=\{a, e\}$
(vi) $A \cap B=\{c, e\}$