Algebra/Chapter 2/Logic and Proofs

Algebra/Chapter 2
 ← Real Numbers Logic and Proofs

2.6: Logic and Proofs


Even and Odd Numbers

edit

Contructing a Proof of a Conditional Statement

edit

Properties of Equality

edit
Property Name Addition Subtraction Multiplication Division
Commutative   Doesn't work:
 
This does:
 
  Doesn't work:
 
This does:
 
Associative   Doesn't work:
 
This does:
 
  Doesn't work:
 
This does:
 
Identity        
Inverse         as long as a ≠ 0.     as long as a ≠ 0.
Distributive        
But wait: