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Prove the following statement:

$V \subseteq W \Leftrightarrow P(V) \subseteq P(W)$

Where P(X) is the power set of X.

+1 vote
GMAT math

For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100) + 1, then p is

• Abetween 2 and 10
• Bbetween 10 and 20
• Cbetween 20 and 30
• Dbetween 30 and 40
• Egreater than 40