Absolute values with inequalities

    • [DOC File]ALGEBRA

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      Absolute values and Inequalities. 1. |x| = a means x =a . or-x = a |x - a| ≥ 3 means (x - a ) ≥ 3 . or (-x +a ) ≥3, i.e. x ≥ a+3 . or. x ≤ a-3. Transformation of the Basic Quadratic Function, x. 2. Changing the signs, adding constant terms and multiplying by different co-efficient are all ways of transforming functions. These changes can be seen on a graph in the following ways ...

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    • [DOC File]STANDARD 1: Students solve equations and inequalities ...

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      2. If x is a real number, for what values of x is the equation true? A) all values of x. B) some values of x. C) no values of x. D) impossible to determine. 3. Given the equation where x > 0 and n < 0 which statement is valid for real values of y? A) y > 0. B) y = 0. C) y < 0. D) STANDARD 16: Students demonstrate and explain how the geometry of the graph of a conic section (e.g. the asymptotes ...

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    • [DOCX File]ME-F 1.1 Graphical relationships Y11

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      This topic provides the means to more fully understand the behaviour of functions, extending to include inequalities, absolute values and inverse functions. A knowledge of functions enables students to discover connections between algebraic and graphical representations, to determine solutions of equations and to model theoretical or real-life situations involving algebra. The study of ...

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    • [DOC File]MAC-CPTM Situations Project

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      Working with absolute values entails keeping track of the logic of the conjunctions and disjunctions into which absolute value statements transform, and working with inequalities involves applying an appropriate range of rules governing their transformation. Inequalities in two variables can be interpreted by examining the inequality for each of a series of constant values for one of the ...

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    • [DOC File]Module 3: The Absolute Value - Portland Community College

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      Section II: Functions, Inequalities, and the Absolute Value. Module 3: The Absolute Value. The . absolute value function . is defined as follows: The graph of is shown in Figure 1 below. Figure 1: example: Solve . SOLUTION: Since both and , both and are solutions, so the solution set is . The Absolute-Value Principle for Equations. For any positive number a and any algebraic expression X: if ...

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    • [DOC File]Worksheet for graphing absolute value

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      Graph each function of absolute value . 1. f(x) = | x + 1 | - 3 2. . f(x) = | x - 2| - 4 . Vertex ( , ) Vertex ( , ) ... Graphing linear inequalities y < 2x – 4 . y > 3x + 1. 2x + 3y > 6-4x + 2y < 8. y < 2. x > -3. y < | x – 2| + 1. y > 2 | x + 1| - 2 Title: Worksheet for graphing absolute value Author: Hartland Schools Last modified by: Hartland Schools Created Date: 3/20/2012 12:08:00 PM ...

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    • [DOC File]Solving Absolute Value Equations

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      Every absolute value inequality is a compound inequality. The 2 separate inequalities come from when you split the inequality once the absolute value is isolated. So first, you isolate the absolute value following all the same steps as you did when isolating the absolute value when solving an absolute value equation.

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    • [DOCX File]Solving absolute value equations and inequalities

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      Write and solve absolute value equations and inequalities in connection with the definition in real world and mathematical contexts; identify extraneous solutions; write and graph solutions as compound inequality statements in both interval and inequality notation. Include connections to solving linear equations. 29. Absolute Value Functions. 30. 31. Summative Assessment. September 1. Graph ...

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    • [DOCX File]ME-F1.2 Inequalities Y11

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      Absolute value inequalities Students would benefit from going over the basic rules of absolute value equations and inequalities including: If ax + b = k then ax + b =± k If ax + b < k or ax + b ≤ k then - k < ax + b < k or - k ≤ ax + b ≤ k

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    • [DOC File]ALLAMA IQBAL OPEN UNIVERSITY ISLAMABAD

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      Some Properties of Absolute. Values . Solving Equations and Inequalities Involving Absolute Values . Rectangular Coordinate Systems. Unit–2: Linear Equations . Characteristics of Linear Equations. Linear Equations with n Variables . Graphical Characteristics . Graphing Two-Variable Equations . Slope-Intercept . Determining the Equation of a Straight Line . Unit–3: Linear Equations ...

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