SOLUTION: solve and graph [3x - 8] >2 I used "[]" in the replacement of the ABSLOUTE VALUE bars I couldn't find them on the key board

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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


Add 8 to both sides


Combine like terms on the right side


Divide both sides by 3 to isolate x



Divide


Now lets focus on the second inequality


Start with the given inequality


Add 8 to both sides


Combine like terms on the right side


Divide both sides by 3 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