SOLUTION: solve and graph 3x+18 greater than equal to 9 and 3x-18 greater than equal to -15

Question 146780: solve and graph
3x+18 greater than equal to 9 and 3x-18 greater than equal to -15
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Let's solve the first inequality :

Start with the first inequality.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

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Now let's solve the second inequality :

Start with the second inequality.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So our answer is and . The answer could be rearranged to and and then condensed to

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 a closed circle at which means that we're including this value in 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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