SOLUTION: 12x-25>3x-5(x-6) set builder notation 12x-25>3x-5x-30 12x-25+25>3x-30+25 12x>3x-5x-5 12x-3x>3x-3x-5 Help I'm I going in the right direction

Algebra ->  Graphs -> SOLUTION: 12x-25>3x-5(x-6) set builder notation 12x-25>3x-5x-30 12x-25+25>3x-30+25 12x>3x-5x-5 12x-3x>3x-3x-5 Help I'm I going in the right direction      Log On


   



Question 425294: 12x-25>3x-5(x-6) set builder notation
12x-25>3x-5x-30
12x-25+25>3x-30+25
12x>3x-5x-5
12x-3x>3x-3x-5
Help I'm I going in the right direction

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You have a little 'oopsie' right at the beginning.

When you distribute the -5 across (x - 6) you should get -5x + 30 (minus times minus is plus).

So your next step is:



So the step after that is:



Then you went on trying to collect like terms with the variable, but you just dropped a 5x somewhere.

I would first combine the 3x - 5x in the RHS.



Then add 2x to both sides



Finally, divide both sides by 14 leaving you with an irreducible improper fraction that, although quite correct, is uglier than a mud fence.

Write back if you need help with the set builder notation part.

John

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