Question

If $A=\{0,1,2,4,5\}$
$B=\{0,2,4,6,8\}$
$C=\{0,3,6,9\}$,

then select which of the following are correct option(s).

• A. $A\cup (B\cup C)=(A\cup B)\cup C$
• B. $A\cap (B\cap C)=(A\cap B)\cap C$
• C. $A\cup B=\{0,1,2,4,5,6,8\}$
• D. None of the above

Answer 1

Answer: (A), (B), (C)

The correct options are
A $A\cup (B\cup C)=(A\cup B)\cup C$
B $A\cap (B\cap C)=(A\cap B)\cap C$
C $A\cup B=\{0,1,2,4,5,6,8\}$

Given, $A=\{0,1,2,4,5\}$

$B=\{0,2,4,6,8\}$
$C=\{0,3,6,9\}$
Therefore, $A\cup B=\{0,1,2,4,5,6,8\}$

Hence, option C is correct.