Let E Rn. The translation of E by an x Rn is the set x
Question:
a) Prove that E is a Jordan region if and only if x + E is a Jordan region, in which case Vol(x + E) = Vol(E).
b) Prove that E is a Jordan region if and only if a E is a Jordan region, in which case Vol(aE) = anVol(E).
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