Question

How do you solve the inequality `16x^2+9<24x`?

Answer 1

There are no solutions. (The solution set is empty, `O/`)

Explanation:

`16x^2+9<24x` if and only if `16x^2- 24x +9 < 0`

But `16x^2- 24x +9 = (4x+3)^2` which is never negative. (Is never less trhan `0`.)

So the inequality has no solution.