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Thinking Mathematically Algebra: Equations and Inequalities 6.4 Linear Inequalities in One Variable.

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Presentation on theme: "Thinking Mathematically Algebra: Equations and Inequalities 6.4 Linear Inequalities in One Variable."— Presentation transcript:

1 Thinking Mathematically Algebra: Equations and Inequalities 6.4 Linear Inequalities in One Variable

2 Inequalities Solving – finding the set of numbers that satisfy the inequality. English phrases: –At least –At most –Is between –Is no more than –Is no less than

3 Graphing Inequalities Inequalities can be graphed on a number line by marking all of the points on the line that correspond to numbers that will make the inequality a true statement. An open circle indicates that a point is not part of the solution A closed circle indicates that a point is part of the solution

4 Examples: Graphing Inequalities Exercise Set 6.4 #3, #9

5 The procedure for solving linear inequalities is the same as the procedure for solving linear equations, with one important exception: When multiplying or dividing both sides of the inequality by a negative number, reverse the direction of the inequality symbol, changing the sense of the inequality. Solving Linear Inequalities

6 Examples: Solving Linear Inequalities Exercise Set 6.5 #33, #49, #61

7 Thinking Mathematically Algebra: Equations and Inequalities 6.4 Linear Inequalities in One Variable


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