SOLUTION: Solve the inequality, and express the solution in terms of intervals whenever possible. (Enter your answer using interval notation. If there is no solution, enter NO SOLUTION.) x2

Algebra ->  Inequalities -> SOLUTION: Solve the inequality, and express the solution in terms of intervals whenever possible. (Enter your answer using interval notation. If there is no solution, enter NO SOLUTION.) x2      Log On


   

Question 706944: Solve the inequality, and express the solution in terms of intervals whenever possible. (Enter your answer using interval notation. If there is no solution, enter NO SOLUTION.)
x2 − 6x − 16 < 0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-6x+-16+%3C+0....replace -6x with 2x-8x
x%5E2%2B2x-8x-16%3C0.....group
%28x%5E2%2B2x%29-%288x%2B16%29%3C0
x%28x%2B2%29-8%28x%2B2%29%3C0
%28x-8%29%28x%2B2%29%3C0
x-8%3C0 if x%3C8
x%2B2%3C0 if x%3C-2
or
-2%3Cx%3C8
interval:
(-2,8)
+graph%28+600%2C+600%2C+-10%2C+10%2C+-25%2C+10%2C%28x-8%29%28x%2B2%29%29+
shade the area from x=-2 to x=8 (excluding these points) down under x-axis