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What is the answer to the problem?

Mathematics
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-2<3y-4<14

Mar 31st, 2015

Solving a problem like this is the same as solving a single inequality.  If fact you could divide the inequalities and solve it as -2 < 3y - 4 and 3y - 4 < 14.

However, I will solve the inequality as one problem.

-2 < 3y - 4 < 14                   To solve for y, the first step will be to add 4 to each side

-2 + 4 < 3y - 4 + 4 < 14 + 4

2 < 3y < 18                          Divide all sides by 3

2/3 < 3y/3 < 18/3

2/3 < y < 6

y is any number between 2/3 and 6.  In interval notation this  would be (2/3 , 6)

Please let me know if you have any additional questions about this work.

Mar 30th, 2015

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