##### CHAPTER 2: FUNCTIONS, EQUATIONS, AND INEQUALITIES

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Example: Solve . RADICAL EQUATIONS. A radical equation is an equation in which variables appear in one or more radicands. The Principle of Powers. For any positive integer n: Example: Solve . EQUATIONS WITH ABSOLUTE VALUE. Example: Solve . SOLVING LINEAR INEQUALITIES. LINEAR INEQUALITIES. PRINCIPLES FOR SOLVING INEQUALITIES. For …

##### Chapter 3: Linear Equations & Inequalities in 2 Variables

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Scenario 2 just increases the number of steps in the process. We must find the slope in addition to plugging into the point-slope form and solving the equation for y. Example: Find the equation of each line through the given points. Use the . point-slope form. a) (5, 2) …

##### Equations and Inequalities II

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To represent an inequality of the first degree in two variables: Graph the line of the equation associated with this inequality. This line represents the boundary of the required half-plane. Choose any point located outside the line and note the ordered pair representing .this point. Test whether the chosen ordered pair is a solution of the ...

##### Linear Equations - Math Motivation

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For example, 3x – 2 < 7 is a linear inequality. We call it “linear” because if the < were replaced with an = sign, it would be a linear equation. Inequalities involving polynomials of degree 2 or more, like 2x3 – x > 0, are referred to as polynomial inequalities, or quadratic inequalities if the degree is exactly 2.

##### Solving Inequalities

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both sides of an inequality by a . negative. number, you must . change. the direction of the inequality symbol. Example: Solving Inequalities Using Addition/Subtraction. Solve the following inequalities and graph the solution on the number line. y + 3 > 5 b. x - 3 < 5. Step 1: Isolate y variable Step 1: Isolate the x variable

##### Solving Two-Step Equations

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When multiplying or dividing each side of an inequality by a negative number, the inequality symbol must be reversed. Example 4 Example 5 Example 6. 3 – 5 continued. Example 7 Example 8. Write the verbal sentence as an inequality. Then solve the inequality. Example 9. 16 is greater than twice a number. Example 10

##### The Mathematical Basics of Popular Inequality Measures

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Theil Example 3B calculates total inequality by comparing each job position-experience level combination to the average salary. The value of the total Theil Index is the same, but this method does not naturally parse the Index into within-group and between-group portions.

##### Writing absolute value equations and inequalities

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Example 2: What equation represents all points exactly 2 units from 3? The vertex is (3,0) so the equation would be =2. Example 3: ... Writing inequalities is done the same way, but instead of an equal sign you have an inequality. For example, A bed must be . within. 1 feet of 9 feet. Write an absolute value inequality below that

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