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If $(\mathrm{A}-\mathrm{B}) \cup(\mathrm{B}-\mathrm{A})=\mathrm{A}$ for subsets $\mathrm{A}$ and $\mathrm{B}$ of the universal set $\mathrm{U}$, then which one of the following is correct?
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Verified Answer
The correct answer is:
$\quad B=\phi$
For subsets $\mathrm{A}$ and $\mathrm{B}$ of $\mathrm{U}$. If $(A-B) \cup(B-A)=A$
$\Rightarrow \mathrm{B}=\phi$
$\Rightarrow \mathrm{B}=\phi$
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