Absolute Inequalities Distance Method

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Absolute inequalities distance method is something that will require you to use absolute values during the process. Find out about an absolute inequalities distance method with help from an experienced math professional in this free video clip.

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Hi, I'm Drew Moyer, and this is the absolute inequalities distance method. To solve absolute value in inequalities, it is helpful to think of your problem as distance away from 0 and a distance like an absolute value, will always be positive. So let's take a look at our problem. We have the absolute value of 2X minus 3 over 3 is greater than 1 which means that the distance has to be more than 1 away from 0 which means that this must be either greater than 1 or less than negative 1. So I'm going to set up both scenarios or 2X minus 3 over 3 is less than negative 1. So now I would just simply solve the equation. I have a 3 I'm going to multiply by 3 on both sides which will give me 2X minus 3 is greater than 3 and then I want to add 3 to both sides which will give me 2X is greater than 6 and then I want to divide by 2 which will give me X is greater than 3 and then over here for this solution, I want to do the same thing, multiply both sides by 3 which gives me 2X minus 3 is less than negative 3, add 3 to both sides which gives me 0 and divide both sides by 2 which again is 0. So I have X is either greater than 3 or less than 0. And I'm Drew Moyer, and this is the absolute inequalities distance method.

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