SOLUTION: Solve the inequality (3x-2)/(x+4) <_ 0 if you could please thoroughly explain it because I am completely lost on this one.

Algebra ->  Inequalities -> SOLUTION: Solve the inequality (3x-2)/(x+4) <_ 0 if you could please thoroughly explain it because I am completely lost on this one.      Log On


   

Question 1090339: Solve the inequality (3x-2)/(x+4) <_ 0
if you could please thoroughly explain it because I am completely lost on this one.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The critical x values are 2%2F3 and -4.
2%2F3 is a root of the left-side, and -4 is the x-value for which the inequality is undefined.

Test the inequality in each of the three intervals, x%3C-4, -4%3Cx%3C=2%2F3, x%3E=2%2F3. Which intervals make the inequality true? Those are the solutions.