Question

If $ϵ=\{x:x\le 10,x\in N\}$
$A=\{ϵ:ϵ\ge 4\}$
and $B=\{ϵ:2<ϵ<7\}$

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

Answer 1

Answer: (A), (B)

The correct options are
A $(A\cup B)\ne A\cap B$
B $(A\cap B)=\{4,5,6\}$

$A=\{4,5,6,7,8,9,10\}$

$B=\{3,4,5,6\}$

$A\cup B=\{3,4,5,6,7,8,9,10\}$

$A\cap B=\{4,5,6\}$

Hence the first 2 statements are correct.