Sets
Membership, inclusion, operations, Venn diagrams, number sets and real intervals
The Sets unit belongs to the Statistics and probability section of Math Mental and has 23 lessons: membership, inclusion, operations, Venn diagrams, number sets and real intervals.
Lessons in this unit
- Belongs or does not belong
- How many belong to A
- Contained in or belongs to
- Subsets: which and how many
- From the property to the list
- From the list to the property
- Empty, singleton and universe
- The power set
- Practice: listing and counting sets
- Union
- Intersection
- Difference
- Complement in U
- Combined operations and regions
- Inclusion-exclusion with two sets
- Inclusion-exclusion with three sets
- Number sets
- The chain of number sets
- Review: operations and diagrams
- From the inequality to the interval
- From the interval to the inequality
- Intersection of intervals
- Sets test
How to work through this unit
Follow the lesson order
The unit has 23 lessons of increasing difficulty. Finish one before moving on: the early techniques come back in the later questions.
Solve it before reading the solution
Work every question out on your own, then read the step by step and check the reason for each step instead of only comparing the final answer.
Lock it in during review
The question types you miss come back in practice and review until you get them right in a row. The unit test confirms the whole unit stuck.
Frequently asked questions about this unit
What does the Sets unit cover?
Sets belongs to the Statistics and probability section and has 23 lessons: membership, inclusion, operations, Venn diagrams, number sets and real intervals. The lessons start with the basic cases and build up to applications, always with a step-by-step solution.
What should I know before studying Sets?
This page names the previous unit on the path. If it is not solid yet, go back and practice first; if there is no prerequisite, this is where the path begins.
How long does Sets take?
Each lesson takes a few minutes. Most students do one or two a day and finish a unit in one or two weeks. The goal is answering correctly day after day, not clearing everything at once.
Are the Sets exercises free?
Yes. Every Math Mental lesson is free and ad-free; you only need an account to save your progress.
Your first lesson takes five minutes
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