SOLUTION: I came up with an incorrect answer for the following problem and I'm not sure why, can you assist me? Solve the absolute value inequality. Express the solution using interval no

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Start with the given inequality


Break up the absolute value (remember, if you have , then or )

or Break up the absolute value inequality using the given rule




Now lets focus on the first inequality


Start with the given inequality


Divide both sides by 4 to isolate x



Reduce


Now lets focus on the second inequality


Start with the given inequality


Divide both sides by 4 to isolate x



Reduce



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Answer:

So our answer is

or


which looks like this in interval notation





if you wanted to graph the solution set, you would get

Graph of the solution set in blue and the excluded values represented by open circles