SOLUTION: Solve the polynomial inequality and graph the solution set on a real number line. (x-2)/(x+7) is less than or equal to 0. Select the correct choice below and if necessary, fill i

Algebra ->  Graphs -> SOLUTION: Solve the polynomial inequality and graph the solution set on a real number line. (x-2)/(x+7) is less than or equal to 0. Select the correct choice below and if necessary, fill i      Log On


   



Question 756694: Solve the polynomial inequality and graph the solution set on a real number line.
(x-2)/(x+7) is less than or equal to 0. Select the correct choice below and if necessary, fill in the answer box to complete your choice.
A. The solution set is ____. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)
B. The solution set is 0.
Graph the solution set on a real number line

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Only the numerator is of interest as for order to 0. Critical point for %28x-2%29%2F%28x%2B7%29%3C=0 is at x=2. The expression is negative for x%3C2 making the statement true. x%3C%3E-7 because the statement becomes meaningless from division by zero.

Put these facts together and solution set is:
{x | x%3C-7 OR 2%3E=x%3E-7 }