SOLUTION: Solve the inequality. Express your answer using set notation and interval notation. Graph the solution set. 0 < [(3x + 2)/2] < 4

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Question 1208857: Solve the inequality. Express your answer using set notation and interval notation. Graph the solution set.

0 < [(3x + 2)/2] < 4

Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
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Solve the inequality. Express your answer using set notation and interval notation. Graph the solution set.

0 < [(3x + 2)/2] < 4
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Multiply all three parts of this inequality by 2.
You will get an equivalent inequality

    0 < 3x + 2 < 8.


Subtract 2 from all three terms.  
You will get an equivalent inequality

    -2 < 3x < 6.


Divide all three term by 3.
You will get an equivalent inequality

    -2/3 < x < 2,


which is your ANSWER.  In the interval form, it is (-2/3,2).


The graph is like this


     ------|----o==========|===============|===============o----
          -1   -2/3        0               1               2

Solved.