# How do you solve x^2+16x+24>6x using a sign chart?

Simplify the quadratic inequality as shown and factorise it as (x+6)(x+4)>0. Now divide the entire numberline in three intervals $\left(- \infty , - 6\right) , \left(- 6 , - 4\right) \mathmr{and} \left(- 4 , \infty\right)$.
In each interval select a test value and determine the sign of (x+6), (x+4) and then sign of (x+6)(x+4). The intervals in which the sign of (x+6)(x+4) is +ive indicate that Inequality holds good in those intervals. The value of x in these intervals is the required answer. In the present case Inequality holds good in intervals$\left(- \infty , - 6\right) \mathmr{and} \left(- 4 , \infty\right)$. This means x<-6 or x>-4 is the required solution.