Purchase Solution

# Sets and containment

Not what you're looking for?

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)

##### Solution Summary

This is a set regarding containment and closure.

##### 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 ...

##### Probability Quiz

Some questions on probability

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.