MAT337H1 Lecture Notes - Lecture 1: Rational Number, Additive Inverse
Document Summary
There is no rational number whose square is 2 p f any rational number. P 9 ez 9 10 r qf assume that p 9 have no common rat r. 2 p is even p me for some. Uc q is even both p 9 are. P 9 have a contradiction even common factor namely 2 conclude that no rational squared equals to z. I o f i 2 additive identity 0 additive inverse rational numbers r el teei a is a field multiplicative identity 1 multiplicative inverse sets collections of object object real numbers in our case intersection. A c b l a is a subset of b. Takes x ea assigns to it a cringle element y c b domain range graph. Ibl pf atb 12 at b 2 a al. Two real numbers a and b are equal ily. V e o it follows that la b l.
