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Basic set notation
Description
Exercise Name: Basic set notation
Math Missions: High school statistics and probability Math Mission
Types of Problems: 1

The  Basic set notation exercise appears under the High school statistics and probability Math Mission. This exercise introduces basic set notation and operations.

## Types of Problems

There is one type of problem in this exercise:

1. Find the set: This problem describes two sets in standard set-listing notation. The user is asked to perform an operation on the sets, either union, intersection or set-difference. They write the correct elements in the provided box separated by commas, or select empty set if appropriate.

## Strategies

This exercise is easy to get accuracy badges and speed badges because there is only one type of problem and they can be performed fairly mechanically.

1. Union, ${\cup}$, means all elements in one set or the other.
2. Intersection, ${\cap}$, means all elements in one set and the other (simultaneously).
3. The union operation will never have an answer of empty set because the initials sets are always non-empty.
4. The order of elements in a set does not matter.
5. On set-difference and union it is a good idea to just start concentrating on the first set and then throw additional ones as needed for union, or neglect the ones that taken out via set-difference.

## Real-life Applications

1. Set notation is a concept that makes exposition of other ideas easier, which require talking about collections and their properties thereof.
2. Data and statistics appear in news reports and in the media every day.
3. Statistics can be seen more frequently than calculus in every day life.