mgb5e_ppt_2_9 - 2.9 Solving Linear Inequalities Linear...

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§ 2.9 Solving Linear Inequalities
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Martin-Gay, Beginning Algebra, 5ed 2 Linear Inequalities in One Variable A linear inequality in one variable is an inequality that can be written in the form ax + b < c where a , b , and c are real numbers and a is not 0. This definition and all other definitions, properties and steps in this section also hold true for the inequality symbols >, , or .
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Martin-Gay, Beginning Algebra, 5ed 3 Graphing Solutions to Linear Inequalities Use a number line. Use a closed circle at the endpoint of an interval if you want to include the point. Use an open circle at the endpoint if you DO NOT want to include the point. 7 Represents the set { x x 7}. -4 Represents the set { x x > – 4}. Solutions to Linear Inequalities Interval notation , is used to write solution sets of inequalities. Use a parenthesis if you want to include the number Use a bracket if you DO NOT want to include the number. .
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Martin-Gay, Beginning Algebra, 5ed 4 Solutions to Linear Inequalities x < 3 0 1 2 3 4 5 x < 3 –2 < x < 0 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 Interval notation: (–∞, 3) Interval notation: (–2, 0) Interval notation: [–1.5, 3) NOT included Included
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Martin-Gay, Beginning Algebra, 5ed 5 Addition Property of Inequality If a , b , and c are real numbers, then a < b and a + c < b + c are equivalent inequalities.
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This note was uploaded on 06/10/2009 for the course MAC 1103 taught by Professor Prescott during the Spring '09 term at Pasco-Hernando Community College.

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mgb5e_ppt_2_9 - 2.9 Solving Linear Inequalities Linear...

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