Solve the inequality
posted by Alley on .
Solve the inequality algebraically
8x3 ≥ 3x^2

8x3 ≥ 3x^2
3x^2 + 8x  3 ≥ 0
(x + 3)(3x  1) ≥ 0
critical values are x = 3 and x = 1/3
visualize the parabola y = 3x^2 + 8x  3
it would have xintercepts of 3 and 1/3 and be above the xaxis , y≥0 , for x ≤ 3 or x ≥ 1/3
so :
x ≤ 3 or x ≥ 1/3