Question

Let A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}. Then the sets $A\cup B$ and $A\cap B$ are

• A. {1, 3, 5}; {8}
• B. {1, 5}; {8}
• C. {1, 3, 5}; {2, 4, 6}
• D. {2, 4, 6}; {2, 4, 6}

Answer 1

The correct option is A

{1, 3, 5}; {8}

A = {1, 2, 3, 4, 5, 6}

B = {2, 4, 6, 8}

$A\cup B=\{1,2,3,4,5,6\}\cup \{2,4,6,8\}$

$\Rightarrow A\cup B=\{1,2,3,4,5,6,8\}$

$A\cap B=\{2,4,6,8\}\cap \{1,2,3,4,5,6\}$

$\Rightarrow A\cap B=\{2,4,6\}$