SOLUTION: Could you show how to solve and graph this inequality? I am a parent trying to help my son with 8th grade algebra. -7 < 3x + 2 is less than or equal to 14

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Question 182032: Could you show how to solve and graph this inequality? I am a parent trying to help my son with 8th grade algebra.
-7 < 3x + 2 is less than or equal to 14

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given compound inequality.


Subtract from all sides.


Combine like terms on the left side.


Combine like terms on the right side.


Divide all sides by 3.


Reduce.


=========================================

Answer:

So the solution is


So the answer in interval notation is (]


Also, the answer in set-builder notation is


Here's the graph of the solution set

Graph of the solution set

Note:
There is an open circle at which means that we're excluding this value from the solution set
Also, there is a closed circle at which means that we're including this value in the solution set.

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