# What is the solution set for #4x^2 - 5x < 6#?

##### 1 Answer

Aug 7, 2015

Solve

Ans:

#### Explanation:

Bring the inequality to standard form:

First, solve

I use the new Transforming Method. (Google, Yahoo)

Transformed equation

Factor pairs of 24 -> ...(-2, 12)(-3, 8). This sum is 5 = -b. Then, the 2 real roots of (2) are: -3 and 8.

Back to original equation (1), the 2 real roots are:

Find the solution set of the inequality. Since a > 0, the parabola opens upward. Between the 2 real roots

Answer by open interval: