Find the range of values of K satisfying the inequality?
The inequality is K^2 + 9K + 14 > 0
What are the range of values of K satisfying the inequality??
- mizooLv 77 years agoFavorite Answer
k^2 + 9k + 14 > 0
(k + 2)(k + 7) > 0
k > -2 or k < -7
in the interval notation : (-∞, -7) U (-2, ∞)
- HosamLv 67 years ago
First factor the quadtratic given as (K+7)(K+2) , so now you have
(K+7)(K+2) > 0
Since the coefficient of K^2 is positive, the quadratic is positive if K is OUTSIDE the interval between the two roots (-7) and (-2) . This interval can be written as [-7,-2]
So the range of K = R / [-7,-2] = (-inf, -7) U (-2, inf )
where inf means infinity.