Show that the following four conditions are equivalent : (i) \( \ma...

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Show that the following four conditions are equivalent :
(i) \( \mathrm{A} \subset \mathrm{B} \) (ii) \( \mathrm{A}-\mathrm{B}=\phi \)
(iii) \( \mathrm{A} \cup \mathrm{B}=\mathrm{B} \)
(iv) \( \mathrm{A} \cap \mathrm{B}=\mathrm{A} \)
\( \mathrm{P} \)
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