Algebra- Properties of Equality

Properties of Equality Properties of Equality  Reflexive a=a Properties of Equality  Reflexive a=a  Symmetric If a=b, then b=a Properties of Equality  Reflexive a=a  Symmetric If a=b, then b=a  Transitive If a=b and b=c, then a=c Properties of Equality  Reflexive a=a  Symmetric If a=b, then b=a Transitive If a=b and b=c, then a=c Substitution If a=b, a may replace b in any equation    Identify the property If m=n+5, then n+5 =m Identify the property If 3= 6/2 and 6/2= 12/4, then 3=12/4 Identify the property Y+6=Y=6 Identify the property If x=7 and x+y=z,then 7+y=z Careful  Transitive and substitution are very much the same. Properties of Inequality Properties of Inequality   Trichotomy Property: ab Properties of Inequality   Trichotomy Property: ab Transitive Property If aa Equivalent Inequalities If aa If a > b, then b < a Equivalent Inequalities If aa If a > b, then b < a If ab>a Reversing the order of the variables . Reversing the order of the variables reverses the order of the signs. Write using symbols Write using symbols M is less than 5 Write using symbols R is between 3 and 6 Write using symbols C is between 5 and 9, inclusive Write using symbols Q is between –2 and 15, including –2, excluding 15 Write using symbols D is no more than 17 Write using symbols F is less than 24 Graphing inequalities and writing in interval notation :