If A = {5,6,7,8,9}, B = {x:3 < x < 8 and x ∈ W} and C= {x:x ≤ 5 an

1.	If A = {5,6,7,8,9}, B = {x:3 < x < 8 and x ∈ W} and C= {x:x ≤ 5 and x ∈ N}. Find: (i)A∪B and (A∪B) ∪ C (ii) B∪C and A∪(B∪C) (iii) A∩B and (A∪B)∩C (iv) B∩C and A∩(B∩C) Is (A∪B)∪ C = A ∪(B∪C) ? Is (A∩B)∩C = A ∩(B∩C) ?
Answer» If A = ${5, 6, 7, 8, 9}$ , B = ${x : 3 < x < 8 a n d x \in W}$ and C= ${x : x \leq 5 a n d x \in N}$ . Find: (i) $A \cup B a n d (A \cup B) \cup C$ (ii) $B \cup C a n d A \cup (B \cup C)$ (iii) $A \cap B a n d (A \cup B) \cap C$ (iv) $B \cap C a n d A \cap (B \cap C)$ Is $(A \cup B) \cup$ C = A $\cup (B \cup C)$ ? Is $(A \cap B) \cap C$ = A $\cap (B \cap C)$ ?

If A = {5,6,7,8,9}, B = {x:3 < x < 8 and x ∈ W} and C= {x:x ≤ 5 and x ∈ N}. Find: (i)A∪B and (A∪B) ∪ C (ii) B∪C and A∪(B∪C) (iii) A∩B and (A∪B)∩C (iv) B∩C and A∩(B∩C) Is (A∪B)∪ C = A ∪(B∪C) ? Is (A∩B)∩C = A ∩(B∩C) ?

Answer»

If A = ${5, 6, 7, 8, 9}$ , B = ${x : 3 < x < 8 a n d x \in W}$ and C= ${x : x \leq 5 a n d x \in N}$ . Find:

(i) $A \cup B a n d (A \cup B) \cup C$

(ii) $B \cup C a n d A \cup (B \cup C)$

(iii) $A \cap B a n d (A \cup B) \cap C$

(iv) $B \cap C a n d A \cap (B \cap C)$

Is $(A \cup B) \cup$ C = A $\cup (B \cup C)$ ?

Is $(A \cap B) \cap C$ = A $\cap (B \cap C)$ ?