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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.