1 5 Study Guide And Intervention Solving Inequalities

1 5 Study Guide And Intervention Solving Inequalities Created Date 1 8 2016 3 13 25 PM

Example 1 Solve 12 Example 2 Solve 15 12 8 Original inequality 3 k 15 4 Original inequality 8 8 12 8 Multiply each side by 8 change to 3 4 3 4 15 4 3 Multiply each side by 4 3 96 Simplify 20 Simplify The solution is y y 96 The solution is k k 20 Exercises The exercises are designed to aid your study of mathematics by reinforcing important mathematical skills needed to succeed in the everyday world The materials are organized by chapter and lesson with two Study Guide and Intervention worksheets for every lesson in Glencoe Pre Algebra Always keep your workbook handy

1 6 Study Guide and Intervention continued Solving Comp und and Absolute Value Inequalities Absolute Value Inequalities Use the definition of absolute value to rewrite an absolute value inequality as a compound inequality For all real numbers a and b b O the following statements are true 1 If I al b then b a b 2

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1 5 Study Guide And Intervention Solving Inequalities

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1 4 Study Guide And Intervention Solving Absolute Value Equations

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1 5 Study Guide and Intervention Solving Inequalities One Step Inequalities The following properties can be used to solve inequalities These properties are also true for and Example 1 Solve 2x 4 36 Graph the solution set on a number line 2x 4 4 36 4 2x 32 16 The solution set is x x 16 13 14 15 16 17 18 19 20 21

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Study Guide and Intervention One Step Inequalities The following properties can be used to solve inequalities These properties are also true for and Example 1 Solve 2x 4 36 Graph the solution set on a number line 2x 4 4 36 4 2x 32 x 16 The solution set is x x 16 13 14 15 16 17 18 19 20 21

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Chapter 1 6 Glencoe Algebra 1 Study Guide and Intervention a division of The McGraw Hill Companies Inc Lesson 1 3 Solve EquationsA mathematical sentence with one or more variables is called an Solve InequalitiesAn open sentence that contains the symbol or is called

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Solving Inequalities by Addition and Subtraction Match each inequality with its corresponding graph 1 8 x 15 4 12 x 9 Solve each inequality c Check your solution 6 o 8 4 10 4 6 5 4 3 2 1 0 1 2 012345678 012345678 and then graph it on a number line 234567 8 9 10

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1 5 Skills Practice j Solving Inequalities Solve each inequality Describe the solution set using set builder or interval notation Then graph the solution set on a number line Solve the inequality 90x 90 0 1 x 12x 30 600 to find how many nights the Lincoln s can stay at the hotel without exceeding total hotel costs of 600 5

Solve Multi Step InequalitiesTo solve linear inequalities involving more than one operation undo the operations in reverse of the order of operations just as you would solve an equation with more than one operation Example 1 Solve 6x 4 2x 12 6x 4 2x 12 Original inequality 6x 4 2x 2x 12 2x Subtract 2x from each side How do you know Answers may vary You could substitute 0 in for x This gives you 4 0 20 or 0 20 Since 0 is not greater than or equal to 20 the inequality is false so 0 is not a solution Directions Write an inequality to represent the given situation 2 Points Each 5 A number is no less than ten x 10 7

Chapter 5 23 Glencoe Algebra 1 5 4 Study Guide and Intervention Solving Compound Inequalities Inequalities Containing and A compound inequality containing and is true only if both inequalities are true The graph of a compound inequality containing and is the intersection of the graphs of the two inequalities Every solution of