# Sets and containment

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Note:

C = containment

int = interior

ext = exterior

cl = closure

Could you please prove if S C T, then

a)int(S) C int(T)

b)ext(T) C ext(S)

c)cl(S) C cl(T)

https://brainmass.com/math/algebraic-geometry/sets-and-containment-25383

#### Solution Preview

S C T means S is a subset of T.

Proof:

(a) for any x in int(S), x is an interior point of S, this means we can find an open set U which contains x and U belongs to S. But S belongs to T. So U also belongs to T. Thus x is an ...

#### Solution Summary

This is a set regarding containment and closure.

$2.49