SOLUTION: 6(7n-4) `<=` -6n+24 and graph it but im not understanding it can you please help me graph it on a number line the directions say: Solve each inequality and graph its solution

Algebra ->  Graphs -> SOLUTION: 6(7n-4) `<=` -6n+24 and graph it but im not understanding it can you please help me graph it on a number line the directions say: Solve each inequality and graph its solution      Log On


   

Question 362872: 6(7n-4) `<=` -6n+24
and graph it but im not understanding it
can you please help me graph it on a number line
the directions say: Solve each inequality and graph its solution
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

6%287n-4%29%3C=-6n%2B24 Start with the given inequality.


42n-24%3C=-6n%2B24 Distribute.


42n%3C=-6n%2B24%2B24 Add 24 to both sides.


42n%2B6n%3C=24%2B24 Add 6n to both sides.


48n%3C=24%2B24 Combine like terms on the left side.


48n%3C=48 Combine like terms on the right side.


n%3C=%2848%29%2F%2848%29 Divide both sides by 48 to isolate n.


n%3C=1 Reduce.


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Answer:

So the solution is n%3C=1



So the answer in interval notation is (]



Also, the answer in set-builder notation is


Here's the graph of the solution set



Note: there is a closed circle at n=1


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim