SOLUTION: Find the solution set to this inequality {{{6x/(7x-2)}}} > {{{2/(x+1)}}}

Algebra.Com
Question 596805: Find the solution set to this inequality
>
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!

  > 

Get 0 on the right side:

  -  > 0

Get an LCD on the left of (7x-2)(x+1):

 -  > 0

  -  > 0

  > 0

  > 0

  > 0

Factor 2 out of the top:

  > 0

Divide both sides by 2

 > 0

The numerator has no real zeros.
Find real zeros of the denominator 

7x-2 = 0,    x+1 = 0
   x = ,      x = -1

-----o--------o--------
    -1        

Possible 
intervals 
   for 
solutions:   | (-∞,-1) | (-1,) | (,∞)
-----------------------------------------
test value   |   -2    |    0   |   1   
-----------------------------------------
sign of f(x) |    +    |    -   |   +
-----------------------------------------     
f(x) > 0     |   YES   |   NO   | YES

Solution:   (-∞,-1) ⋃ (,∞)    

Edwin
RELATED QUESTIONS

Solve the inequality. Graph the solution set and write it in interval notation.... (answered by lwsshak3)
What is the solution set of the inequality x/4 < {(5x-2)/3}-{(7x-3)/5}... (answered by sachi)
How would I solve this polynomial inequality and put the solution set into interval... (answered by josgarithmetic)
Please help me find the solution set of this quadratic inequality:{{{x^2> or equal to... (answered by ikleyn)
x^2-7x+6=o find the solution set (answered by Fombitz)
State the solution set to the inequality (x-1)^2>1 using interval... (answered by DrBeeee)
I can not figure out this.... solve the inequality (x-3)(2-x)/(x-1)^2 >0 then I am to... (answered by Theo)
Please help me find the solution set to the inequality |1 - 4x^2| - |11x - 12 -... (answered by greenestamps)
graph solution set of this linear inequality x-y>2 (answered by stanbon)