Rules of Equalities Rules of Inequalities I a=b AND b= a=c N I a> b AND by c = a7( I a = b AND CER => a+c= b+c Ta>b AND CER=> atc>bic Original "add c to both sides " Rules Tha > b AND C>0 => ac>bc ma= b AND CCR = ac= bc May b AND c acebc Rules of Inequalities Definition a2bto a>b OR a=b I azb AND b 3 c = Q3 ( N Ia>b AND CER=> atcabte Prove these rules TE a7b AND C70 = abc using cases Tax b AND c46 => accbc HW6 HW7 Prove & Rule IV Prove 2 Rule IS using SWarning Proving Original > Rule III and = Rule III Rule I is and Defa of 2 . extra difficult