SOLUTION: Solve {{{abs(x+3/4)<1/4}}}

Question 142989: Solve
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given inequality

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

Multiply all sides by the LCD 4 to clear the fractions

Distribute and multiply

Subtract 3 from all sides

Divide all sides by 4 and reduce to isolate x

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Answer:

So our answer is

which looks like this in interval notation

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