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.) &#

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.) &#      Log On


   



Question 707013: 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.)
−2x
x2 − 4
> 0

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
What you are saying for the inequality is not perfectly clear, but with the "x2" term, a guess is that you are indicating a quadratic inequality, -2x%2Bx%5E2-4%3E0.

The quadratic part will have roots (as if an equation) at...use of quadratic formula solution...
x=%28-1%2Bsqrt%28-31%29%29%2F%28-4%29
OR
x=%28-1-sqrt%28-31%29%29%2F%28-4%29
and simplified to
1%2F4%2Bi%2Asqrt%2831%29%2F4 or 1%2F4-i%2Asqrt%2831%29%2F4

None of that is what you are looking for. The roots are complex but you want to solve an inequality, I assume to not expect any use of complex with imaginary parts.

Try to state the exact problem exercise. Otherwise, it seems this inequality has NO REAL SOLUTION.