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STatiana [176]
3 years ago
7

Prove that A is in the subset B if P(A) is in the subset P(B)

Mathematics
1 answer:
natima [27]3 years ago
5 0
Show that if p(a) ⊂ p(b) then a ⊂ b. 

<span>I will assume p() means power set. </span>

<span>proof: let x∈a, then {x} ∈ p(a) and so by hypothesis {x} ∈ p(b). However {x} could not be in p(b) unless x∈b. This shows that each element of a is an element of b and hence a ⊂ b.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
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