SOLUTION: 9. Solve {{{abs(x-1/4)<1/2}}}

Question 143740: 9. 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

Add 1 to all sides

Divide every side by 4 to isolate x.

So the solution is

which looks like

in interval notation.

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