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4.2.lesson.inequalities.done.Oct.08

# 4.2.lesson.inequalities.done.Oct.08 - Multiply both sides...

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4.2.lesson.inequalities 1 October 10, 2008 Oct 8­3:56 PM 4.2 Solving Linear Inequalities Inequality notation: > greater than < less than ≤ less than or equal to ≥ greater than or equal to Example #1: Graph each solution set on a number line. (a) x > 4 (b) -6 x ≤ 3 1 0 2 3 4 5 6 7 8 9 10 ­1 ­2 ­3 ­4 ­5 ­6 ­7 ­8 ­9 ­10 1 0 2 3 4 5 6 7 8 9 10 ­1 ­2 ­3 ­4 ­5 ­6 ­7 ­8 ­9 ­10 (a) (b) Oct 8­4:03 PM We solve linear inequalities in the exact same way that we solve linear equations. The only exception is when we multiply/divide by a negative number: the inequality must "flip" to hold true. eg. Consider the inequality 3 > 2
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Unformatted text preview: Multiply both sides by -2. Does the inequality still hold true? Oct 8­4:21 PM Example #2: Solve each inequality. Show your solution in the following three ways: (1) interval notation, (2) set notation, and (3) on a number line. (a) 2(x - 3) ≥ 10 (b) -3(x + 5) - 7 < -2 + 2(x + 5) 1 2 3 4 5 6 7 8 9 10 ­1 ­2 ­3 ­4 ­5 ­6 ­7 ­8 ­9 ­10 Check your solution! Oct 8­4:33 PM (c) Oct 9­9:46 AM Assigned Work: page 213 #1bc, 2abc, 3, 4de, 5c, 7ac, 8a, 9, 11 - 13, 15 Enjoy your long weekend!...
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