SOLUTION: Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 1. |[(2x - 3)/2] + (1/3)| > 1 2. |[(2x + 3)/2] - (1/2)| < 1

Learn how to get rid of absolute value bars || in inequalities:

 means 

Also learn that 

 means ,

where the word "OR" is included as part of the solution.  

These apply the same whether the inequality symbol is "underlined" ("or equal to")
is implied or not.

1.  

That means:



Multiply both inequalities through by 6











   <-- ANSWER.

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2. 

That means:

 

Multiply through by 2









Divide through by 2



Add -1 to all three sides:

    <-- ANSWER.

Edwin