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Thinking Mathematically Algebra: Equations and Inequalities 6.4 Linear Inequalities in One Variable 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 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 Examples: Graphing Inequalities Exercise Set 6.4 #3, #9 x 4 2 x 5 Solving Linear Inequalities 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. Examples: Solving Linear Inequalities Exercise Set 6.5 #33, #49, #61 3x 15 2 x 5 5 x 11 3 x 2 1 Thinking Mathematically Algebra: Equations and Inequalities 6.4 Linear Inequalities in One Variable

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