# SOLUTION: 3 /2x-4/ -5<7

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 Algebra: Inequalities, trichotomy Solvers Lessons Answers archive Quiz In Depth

 Question 119121: 3 /2x-4/ -5<7Answer by jim_thompson5910(28595)   (Show Source): You can put this solution on YOUR website! Start with the given inequality Add 5 to both sides. Divide both sides by 3 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 Add 4 to all sides Divide all sides by 2 to isolate x ---------------------------------------------------- Answer: So our answer is 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