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