SOLUTION: I am to Solve this inequality...the actual answer is (-9/5, 1) (didnt know how to make vertical lines but the 5k+2 has vertical lines on each side) {{{5k+2 -3 is less than or e

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Start with the given inequality


Add 3 to both sides.


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

and Break up the absolute value inequality using the given rule


Combine the two inequalities to get a compound inequality



Subtract 2 from all sides


Divide all sides by 5 to isolate k



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Answer:

So our answer is





which looks like this in interval notation




note: since the inequality was less than or equal to, that means the end points are included. So that is why brackets are used instead of parenthesis.