Question

How do you solve quadratic inequalities `4x^2 - 5x < 6`?

Answer 1

Similar to the case of a quadratic equation.

Explanation:

For example, the equation

`4x^2 - 5x = 6` has roots `x = 2` and `x = -3/4` which may be written as,

`(x - 2)(4x + 3) = 0`

Thus, coming to the case of an inequation,

`(x - 2)(4x + 3) < 0`
which naturally implies,

`x < 2` and `x < -3/4`