Let A and B be two sets then $(\mathrm{A} \cup \mathrm{B}) \cup\left(\mathrm{A}^{\prime} \cap \mathrm{B}\right)$ is equal to

• Correct answer
  A

  $\mathrm{A}^{\prime}$
• B

  $\mathrm{A}$
• C

  B'
• D

  None of these

Solution

$\text { From Venn-Euler's Diagram. }$
$\therefore(\mathrm{A} \cup \mathrm{B})^{\prime} \cup\left(\mathrm{A}^{\prime} \cap \mathrm{B}\right)=\mathrm{A}^{\prime}$

Hence, the correct answer is option: 'A'.