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1 chapter · 11 notes · all free

1. Sets and Ways of Writing ThemIf a mason builds only for those who do not build their own house, does he build his own?
2. Subsets, the Empty Set and Equality of SetsAre {1, 2, 3, 4} and {1, 2, 2, 3, 4, 4, 4} different sets? Is the empty set a subset of everything?
3. Power SetHow many subsets does a three-element set have? Count by hand and one always goes missing.
4. Difference, Complement, Union and Intersection of SetsOr means union, and means intersection. Shade the right region of the Venn diagram yourself.
5. Cartesian Product and Propositions of Set OperationsWhy do ∪ and ∩ swap when you break the bar of a complement? Put the proof in order and see.
6. One-One Correspondence, Equivalent Sets, Intervals, and Finite and Infinite SetsAre there fewer even numbers than natural numbers? How can you tell without counting?
7. Number of Elements of Finite Sets and Sets in Solving Real-Life ProblemsEveryone who does both gets counted twice. How to put numbers into a Venn diagram, step by step.
8. RelationFlip a relation and its domain and range swap places. Can you list the new pairs?
9. Function, Domain and RangeWhich x keeps a function working, and which one breaks it? Do you know the rule for roots and denominators?
10. One-One, Onto and Inverse FunctionsWhen does turning the arrows round still give a function? Move the arrows yourself and see.
11. Graphs of Relations and FunctionsIf one vertical line cuts a graph twice, it is not a function. Slide the line yourself and see.

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