Mathematical Proof/Appendix/Answer Key/Mathematical Proof/Introduction/Notation

These are the answers to the exercises in section 1.2, Notation

1. Use set theory notation
1. ${\displaystyle P\cap L}$, where P is the set of all people and L is the set of all things with two legs.
2. ${\displaystyle M-G}$, where M is the set of all mythological creatures and G is the set of all things that are Greek.
3. ${\displaystyle A\cap B-C}$, where A is the set of all pies, B is the set of all things with pudding in them, and C is the set of all things with cream on the top.
2. Venn Diagrams
3. Negated statements
1. ${\displaystyle \exists x\in A:\forall y\in B,\lnot P(x,y).}$
2. There is a quick, brown fox that does not jump over any lazy dog.