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

Algebra ->  Inequalities -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%283x%29%3C12
cross%283x%29%281%2Fcross%283x%29%29%3C%2812%29%283x%29Multiply both sides by 3x
1%3C36xDivide both sides by 36
1%2F36%3Cx
So x%3E1%2F36
note: remember the solution is not x=1%2F36 because you can plug in x=2 and get
1%2F3%282%29%3C12
1%2F6%3C12And it will still be true. So the true answer is x is greater than 1/36 or x%3E1%2F36