SOLUTION: 2<3-1/2x<6

Question 177247: 2<3-1/2x<6
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given compound inequality.

Subtract 3 from ALL sides.

Combine like terms.

Multiply ALL sides by -2. Note: multiplying all sides of an inequality by a negative number will flip the signs.

Multiply

Rearrange the inequality

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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 on the number line:

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 an open circle at which means that we're excluding this value from the solution set.
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