Let A = any set and E = empty set. Consider A intersect E. If x is an element of A intersect E, then x is an element of both A and E. However, x cannot be an element of E because E is empty. Union of A with E = A.

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Wolf Best asked in Science & Mathematics Mathematics · 9 years ago

How to prove that the union or the intersection of null set with any set equals null set?

Thanks in advance .

1 Answer

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Lv 7
9 years ago
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Let A = any set and E = empty set.
Consider A intersect E. If x is an element of A intersect E, then x is an element of both A and E. However, x cannot be an element of E because E is empty.
Union of A with E = A.

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