Interior points proof where one set is a subset of the other

ppy
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How would I go about proving that if A is a subset of B then the interior points of A are a subset of the interior points of B?
 
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What did you try?? Where are you stuck? What is your definition of interior point?
 
If a is an interior point of A, the there is an open set Q in A containing a. Since A is a subset of B, a and Q are in B. Therefore a is an interior point of B.
 
mathman said:
If a is an interior point of A, the there is an open set Q in A containing a. Since A is a subset of B, a and Q are in B. Therefore a is an interior point of B.

It would have been so much better if you let the OP find this himself.
 

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