Question

If the universal set $\{x\in W,3<x\le 12\},A=\{5,7,9\}$, then $A^{\prime }=$

• A. $\{3,6,8,10,11,12\}$
• B. $\{4,6,8,10,11,12\}$
• C. $\{6,8,10,11,12\}$
• D. None of the above

Answer 1

Answer: (B)

$\{4,6,8,10,11,12\}$

Given universal set is $\{x\in W,3<x\le 12\}$

It can be written as a set $\{4,5,6,7,8,9,10,11,12\}$

$A$ is given as $A=\{5,7,9\}$

$\therefore A^{\prime }=W-A=$ All the elements in the universal set but not in set $A$

$=\{4,6,8,10,11,12\}$

Hence, option B is correct