Solving Inequalities With Absolute Value Worksheet

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Solving Inequalities With Absolute Value Worksheet

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Absolute Value Inequalities Student Notes And Practice Absolute Value Inequalities Graphing

Absolute Value Inequalities Date Period Solve each inequality and graph its solution 1 n Create your own worksheets like this one with Infinite Algebra 2 Free trial available at KutaSoftware Title Absolute Value Inequalities ks ia2 Author Mike To solve inequalities with absolute values, use a number line to see how far the absolute value is from zero. Split into two cases: when it is positive or negative. Solve each case with algebra. The answer is both cases together, in intervals or words. Created by Sal Khan and CK-12 Foundation. Questions Tips & Thanks Want to join the conversation?

50 Solving Absolute Value Inequalities Worksheet

Solving Inequalities With Absolute Value WorksheetStep 2: Set the argument of the absolute value equal to ± p. Here the argument is 5x − 1 and p = 6. 5x − 1 = − 6 or 5x − 1 = 6. Step 3: Solve each of the resulting linear equations. 5x − 1 = − 6 or 5x − 1 = 6 5x = − 5 5x = 7 x = − 1 x = 7 5. Step 4: Verify the solutions in the original equation. Check x = − 1. If the absolute value is set equal to a positive number set the argument expression within the absolute value equal to the number and set it equal to the opposite of the number using an or statement in between the two equations Then solve each equation separately to get two solutions Examples 3 12 7 7 3 12 0

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