SOLUTION: Hello! I need help on this other problem for a test revision: 5-2x<3x-2 Can you help me find the solution to the inequality? Also, thanks for all the previous help in the pa

Algebra ->  Inequalities -> SOLUTION: Hello! I need help on this other problem for a test revision: 5-2x<3x-2 Can you help me find the solution to the inequality? Also, thanks for all the previous help in the pa      Log On


   

Question 374763: Hello! I need help on this other problem for a test revision:
5-2x<3x-2
Can you help me find the solution to the inequality?
Also, thanks for all the previous help in the past from algebra.com!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5-2x%3C3x-2 Start with the given inequality.


-2x%3C3x-2-5 Subtract 5 from both sides.


-2x-3x%3C-2-5 Subtract 3x from both sides.


-5x%3C-2-5 Combine like terms on the left side.


-5x%3C-7 Combine like terms on the right side.


x%3E%28-7%29%2F%28-5%29 Divide both sides by -5 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E7%2F5 Reduce.


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Answer:

So the solution is x%3E7%2F5


Which in decimal form is x%3E1.4


Note: most likely, the teacher will want the answer involving the fraction.



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's an open circle at x=7%2F5 which means that we're exluding this value.

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

Also, feel free to check out my tutoring website

Jim