SOLUTION: Solve (|3x-1|) / (x²+4) ‹ 0. Give a written explanation along with algebraic support. PLEASE HELP ME!!!

Algebra ->  Absolute-value -> SOLUTION: Solve (|3x-1|) / (x²+4) ‹ 0. Give a written explanation along with algebraic support. PLEASE HELP ME!!!      Log On


   

Question 166117: Solve (|3x-1|) / (x²+4) ‹ 0. Give a written explanation along with algebraic support.
PLEASE HELP ME!!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
abs%283x-1%29%2F%28x%5E2%2B4%29%3C0
The denominator is always positive.
The numerator is always positive or zero.
Therefore, there is no value of x such that the left hand side would be less than zero.
No solution.
abs%283x-1%29%2F%28x%5E2%2B4%29%3C0
abs%283x-1%29%3C0
By definition,
abs%28Y%29%3E=0 for all Y.
.
.
.
Graphical verification.
+graph%28+300%2C+300%2C+-10%2C+10%2C+-1%2C+1%2C+%28abs%283x-1%29%29%2F%28x%5E2%2B4%29%29+