How is the set of natural numbers written?
- the set of natural numbers.
What does represent?
- the set of integers.
When you want to say that some set is part of another set, what is that called? How is that denoted?
- is a subset of the set.
Example, given that , contains only natural numbers whereas contains all integers, we can say that
What is the symbol for exists?
- there exists.
What is the symbol for there exists a unique?
- there exists a unique.
What does denote in set builder notation?
- for all.
How can you use set notation to write the set of even integers?
The set of even integers can be written as
How can you use set notation to write the set of integers greater than 2?
The set of integers greater than can be written as
using the symbol, , one could also write:
to denote the same relationship:
How do you read the statement
"There is one and only one number whose square is ".
How do you use set builder notation to write the expression, "for all in , there exists in such that for every number, there is a bigger one."
188.8.131.52 Let .
What are all the subsets of ? Hint: there are .