SOLUTION: Please help me solve and write interval notation for the solution set -4 less than or equal to 3x+1 less than 7 Thanks in advance!!!

Question 162839: Please help me solve and write interval notation for the solution set
-4 less than or equal to 3x+1 less than 7
Thanks in advance!!!

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 to isolate "x".

Reduce.

So the answer is

So the answer in interval notation is [

)

Note: remember, brackets include the endpoints while parenthesis exclude the endpoints.

Also the answer in set-builder notation is

Here's the graph of the solution set

Graph of the solution set

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

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