SOLUTION: Vey confused How might I set up a table of signs for this inequality {{{ G(x) = (((4-2x)(x+3))/((x-3)^2)) >= 0) }}} Must write final solution in interval form THANK YOU

Algebra ->  Inequalities -> SOLUTION: Vey confused How might I set up a table of signs for this inequality {{{ G(x) = (((4-2x)(x+3))/((x-3)^2)) >= 0) }}} Must write final solution in interval form THANK YOU      Log On


   

Question 933408: Vey confused
How might I set up a table of signs for this inequality
+G%28x%29+=+%28%28%284-2x%29%28x%2B3%29%29%2F%28%28x-3%29%5E2%29%29+%3E=+0%29+

Must write final solution in interval form
THANK YOU
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Identify all of the critical x values. Those would be the roots and any value at which G is undefined. These are -3, +3, 2. Examine the sign in each of the four intervals which the critical values create.



Pick any value in each interval and evaluate for the sign of G(x).

INTERVAL_________________SIGN
_____________________________
x%3C-3_______________(____)
-3%3Cx%3C2_____________(____)
2%3Cx%3C3______________(____)
3%3Cx________________(____)