# 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)

##### Purchase this Solution

##### 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 ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### 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.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.