Equality Properties: Reflexive, Symmetric, Transitive, Substitution, Lecture notes of Algebra

Download Equality Properties: Reflexive, Symmetric, Transitive, Substitution and more Lecture notes Algebra in PDF only on Docsity! Properties of Equality Reflexive Property eC lechon Q=a 727 B28 Kty= X*ry Symmetric Property Symbol Example ig a=b ,+on Wu 2&=X, b=a Hun X= Addition Properties Additive Identity pulse Example O+0=0 G+O=% 0+ao0 =ao Additive Inverse at (-a)=O (6 +(-L)=O QO—-a=O 4-4 =O “(b+ 20 Multiplication Properties Multiplicative Identity Symbol Example GO: |=@ IS: [= [*23=Q3 Other Properties Commutative Property Order Symbol Example Otb=bt+a 743 = 3+7 abba —4.5-5-4 Associative ai groupi Ca+b)+c = a + (bt) (§+2) +1 = 5 +(arl albc) = (abe. Gr) Qlst) =@3Y Distributive Property Symbol Example