SOLUTION: Graph the solution: |3x-1|(greater than equal to) 8

Question 208131: Graph the solution: |3x-1|(greater than equal to) 8
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given inequality

Break up the absolute value (remember, if you have , then and )

and Break up the absolute value inequality using the given rule

Combine the two inequalities to get a compound inequality

Add 1 to all sides

Divide all sides by 3 to isolate x

----------------------------------------------------

Answer:

So our answer 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 a number line:

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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