# R4 Properties of Inequalities, Solving Inequalities, Compound Inequalities, & ABS Inequalities (1-5

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Properties of Inequalities, Solving Inequalities, Compound Inequalities, & Absolute Value Inequalities(Algebra 1 Quick Review 1-5 & 1-6)Part 4Homework R4Read the Sections CarefullyComplete Problems: Pg 37 10, 12, 14, 16, 18, 20, 22, 24, 30, 32, 34Pg 45 12, 14, 18, 20, 24, 26, 30, 42
Learning ObjectivesUnderstand the Properties of InequalitiesBe able to Solve One-Step & Multi-Step InequalitiesUnderstand and be able to Write Set Builder NotationBe able to convert a Written or Literal Statement to an Algebraic InequalityUnderstand Compound “AND”/”OR” Inequalities and be able to Graph them and Write them using “Intersect” & “Union” SymbolsBe able to Solve Compound InequalitiesBe able to Absolute Value InequalitiesBe able to convert a Written or Literal Statement to an Algebraic Inequality
InequalitiesInequalities are Relationships where the comparison is “not” an “Equal” comparison.One side of the comparison is either “Less-Than”, “Greater-Than”, “Less-Than or Equal-To”, or “Greater-Than or Equal-To”The Inequality Symbols are: < , >, ≤, The “Closed End” of the symbol always faces the side of the comparison with the smaller amount while the “Opened End” always faces the side of the comparison with the larger amount
Presenting Inequality Solutions(Number Lines)Inequality Solutions should first be presented on a Number Line to stimulate and engage the Visual Senses.All numbers represented in the Solution should be part of a thickened Line Segment or thickened ArrowsThe starting or ending points of thickened Line Segments or Arrows should be represented by a “Filled Dot” or an “Unfilled Dot” depending on whether the end point is “Included” or “Not-Included” respectively. (One end of Arrows is an arrowhead which must always be at “Infinity” or “Negative Infinity” and is never included.
Presenting Inequality Solutions(Interval Notation)Inequality Solutions are Intervals as opposed to Discrete or Individual values. The Solution has a starting value, an ending value, and includes every possible real number in between.