SOLUTION: I am trying to explain to my son how to solve inequalities when the variable is in the numerator. An example would be: 1 ___

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

Question 74216: I am trying to explain to my son how to solve inequalities when the variable is in the numerator. 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 checkley75(3666) (Show Source): You can put this solution on YOUR website!
1/3x<12
1<36x
1/36 proof let x=1/33 a number greater tham 1/36
1/3*1/33<12 invert the denominator(1/33) & multiply.
1/3*33/1<12
33/3<12
11<12
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