SOLUTION: I am trying to explain to my son how to solve inequalities when the variable is in the demoninator. An example would be: 1 ____ < 12 3x I tell him the answer is

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Question 74217: I am trying to explain to my son how to solve inequalities when the variable is in the demoninator. An example would be:
1
____ < 12
3x
I tell him the answer is x = 1/36. Can you explain the steps so he can understand? Thank you.


Thank you.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Multiply both sides by 3x
Divide both sides by 36

So
note: remember the solution is not because you can plug in x=2 and get

And it will still be true. So the true answer is x is greater than 1/36 or

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