SOLUTION: Solve the inequality. (x - 5)(x2 + x + 1) > 0 a. (-∞, -1) or (1, ∞) b. (-1, 1) c. (-∞, 5) d. (5, ∞)

Algebra ->  Inequalities -> SOLUTION: Solve the inequality. (x - 5)(x2 + x + 1) > 0 a. (-∞, -1) or (1, ∞) b. (-1, 1) c. (-∞, 5) d. (5, ∞)      Log On


   



Question 1003193: Solve the inequality.
(x - 5)(x2 + x + 1) > 0
a. (-∞, -1) or (1, ∞)
b. (-1, 1)
c. (-∞, 5)
d. (5, ∞)

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
For (x - 5)(x^2 + x + 1) to be greater than zero, both factors have to be positive, or both have to be negative.
The second factor is never negative (or zero) and thus always positive.
So we need to look at the first factor.
x must be greater than 5 for it to be positive, so
Choice d.