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Given that H and K are point sets, show the following: (a) If p is an...

Given that H and K are point sets, show the following:

(a) If p is an accumulation point of H ∩ K, then p is an accumulation point of both H and K.

(b) If p is an accumulation point of H ∪ K, then p is an accumulation point of H or p is an accumulation point of K.

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