If A = {2, 3, 4, 8, 10}, B = {3, 4, 5, 10, 12 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given sets are $A = \{2, 3, 4, 8, 10\}$,$B = \{3, 4, 5, 10, 12\}$,and $C = \{4, 5, 6, 12, 14\}$.First,find $(A \cup B) = \{2, 3, 4, 5, 8, 10, 12\}

Vedclass · Accepted Answer

$\{2, 3, 4, 5, 8, 10, 12\}$

Vedclass · Answer

(A) Given sets are $A = \{2, 3, 4, 8, 10\}$,$B = \{3, 4, 5, 10, 12\}$,and $C = \{4, 5, 6, 12, 14\}$.First,find $(A \cup B) = \{2, 3, 4, 5, 8, 10, 12\}$.Next,find $(A \cup C) = \{2, 3, 4, 5, 6, 8, 10, 12, 14\}$.Now,find the intersection $(A \cup B) \cap (A \cup C) = \{2, 3, 4, 5, 8, 10, 12\} \cap \{2, 3, 4, 5, 6, 8, 10, 12, 14\}$.The common elements are $\{2, 3, 4, 5, 8, 10, 12\}$.Alternatively,using the distributive law,$(A \cup B) \cap (A \cup C) = A \cup (B \cap C)$.$B \cap C = \{4, 5, 12\}$.$A \cup (B \cap C) = \{2, 3, 4, 8, 10\} \cup \{4, 5, 12\} = \{2, 3, 4, 5, 8, 10, 12\}$.

If $A = \{2, 3, 4, 8, 10\}, B = \{3, 4, 5, 10, 12\}, C = \{4, 5, 6, 12, 14\}$,then $(A \cup B) \cap (A \cup C)$ is equal to:

Similar Questions

The simplified switching circuit for the following circuit is

If $A=\{3, 5, 7, 9, 11\}$,$B=\{7, 9, 11, 13\}$,$C=\{11, 13, 15\}$,and $D=\{15, 17\}$; find $(A \cup D) \cap (B \cup C)$.

For any two independent events $E_1$ and $E_2$,$P\{(E_1 \cup E_2) \cap (\bar{E}_1 \cap \bar{E}_2)\}$ is

If ${N_a} = \{an : n \in N\}$,then the set ${N_6} \cap {N_8} = $

In a school,there are three types of games to be played. Some students play two types of games,but none play all three games. Which Venn diagram$(s)$ can justify the above statement?

Vedclass Test Series

Exam Paper Generator

Online Exam Module