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Absolute Value Inequalities Challenge Problems
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In this lesson we are going to learn how to solve absolute value inequalities using the standard approach usually taught in an algebra class That is learn the rules and apply them correctly There are four cases involved when solving absolute value inequalities
How To Solve Absolute Value Inequalities with or Isolate the absolute value expression Write the equivalent compound inequality u a u a is equivalent to is equivalent to u a or u a u a or u a u a is equivalent to u a or u a u a is equivalent to u a or u a
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Absolute Value Inequalities Worksheets With Answer Key
Absolute Value Inequalities Worksheets With Answer Key
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Enter any values for A b and c for any absolute value equation A x b c into the text boxes below and this solver will calculate your answer and show all of the steps Ax B C A x B C A B C Solve My Absolute Value Inequality Answer 2 x 6 4
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Absolute Value Inequalities Worksheet
Absolute Value Inequalities Worksheet
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
Advanced problems on solving absolute value inequalities Problem 1 Solve an inequality 2 x 3 7 5 Solution 2 x 3 7 5 is equivalent to 5 2 x 3 7 5 is equivalent after adding 7 to each of 3 parts of the inequality 5 7 2 x 3 5 7 is the same as 2 2 x 3 12
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3 3 Practice Absolute Value Inequalities Solve each inequality graph its solution and give interval notation 1 x 3 2x 6 5 x 2 6 7 x 7 3 9 3x 2 9 11 1 2 x 1 6 9 13 6 2x 5
How To Solve Absolute Value Inequalities with or Isolate the absolute value expression Write the equivalent compound inequality u a u a is equivalent to is equivalent to u a or u a u a or u a u a is equivalent to u a or u a u a is equivalent to u a or u a
3 3 Practice Absolute Value Inequalities Solve each inequality graph its solution and give interval notation 1 x 3 2x 6 5 x 2 6 7 x 7 3 9 3x 2 9 11 1 2 x 1 6 9 13 6 2x 5
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