To solve an absolute value inequality involving “less than,” such as |X|≤p, replace it with the compound inequality −p≤X≤p and then solve as usual . To solve an absolute value inequality involving “greater than,” such as |X|≥p, replace it with the compound inequality X≤−p or X≥p and then solve as usual. 6 Oct 2021
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Here are the steps to follow when solving absolute value inequalities: Isolate the absolute value expression on the left side of the inequality.
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Duration: 13:13 Posted: 6 May 2011 VIDEO
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Duration: 12:40 Posted: 7 Dec 2018 VIDEO
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Solving absolute value equations and inequalities ... You begin by making it into two separate equations and then solving them separately.
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How to solve absolute-value inequalities · Check the inequality symbol: is it "greater than" or "less than"? · If "less than", drop the absolute-value bars, ...
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Absolute Value Inequalities ( < ): ... The inequality | x |<4 means that the distance between x and 0 is less than 4 . So, x>−4 AND x<4 . The solution set is {x ...
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19 Sept 2018 · Inequalities Involving > and ≥ ≥ · |4x+15|<−2 | 4 x + 15 | < − 2 and |4x+15|≤−2 | 4 x + 15 | ≤ − 2 · |2x−9|≥−8 | 2 x − 9 | ≥ − 8 and ...
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Rating 5.0 (16) 9 Dec 2020 · For example, the absolute value of x is expressed as | x | = a, which implies that, x = +a and -a. Now let's see what the absolute value ...
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The simplest guideline when solving problems like these is to consider the piecewise function and split it into relevant cases:.
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7 Dec 2020 · The steps to solving an absolute value inequality are much like the steps to solving an absolute value equation: Step 1: Isolate the ...
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In this case, we use the following formulas to solve the inequality: If |x| > a ⇒ x < -a or x > a, and if |x| > a, then x < -a or x > a. ... Case 3: When the ...
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Shows you the step-by-step solutions solving absolute value equations! This calculator will solve your problems.
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6 May 2020 · By the end of this section, you will be able to: Solve absolute value equations; Solve absolute value inequalities with “less than”; Solve ...
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