SOLUTION: Please help me with this problem Thanks it says solve the following inequal. show a number line as your solution and give the interval notation for the solution 5x-9>2x-7

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Question 145588: Please help me with this problem Thanks it says solve the following inequal. show a number line as your solution and give the interval notation for the solution

5x-9>2x-7


5[3m-(m+4)]<-2(m-4) same directions as the first thanks again!!

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given inequality



Add 9 to both sides


Subtract 2x from both sides


Combine like terms on the left side


Combine like terms on the right side


Divide both sides by 3 to isolate x



Reduce

--------------------------------------------------------------
Answer:
So our answer is (which is approximately in decimal form)




So the answer in interval notation is


Here's the graph of the solution set











Start with the given inequality


Distribute




Distribute


Combine like terms on the left side


Add 20 to both sides


Add 2m to both sides


Combine like terms on the left side


Combine like terms on the right side


Divide both sides by 12 to isolate m



Reduce

--------------------------------------------------------------
Answer:
So our answer is (which is approximately in decimal form)



So the answer in interval notation is




Here's the graph of the solution set







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