solve the inequality algebraically

11x-3 is greater than or equal to - 4x^2

1 answer

11x - 3 ≥ -4x^2
4x^2 + 11x - 3 > 0
(x+3)(4x-1) ≥ 0

critical values are x = -3 and x = 1/4
and y = 4x^2 + 11x - 3 is a parabola opening upwards, with intercepts -3 and 1/4 .....

so x ≤ - 3 OR x ≥ 1/4