Note the absolute value. When is an absolute value greater than or equal to $−4$?

all real numbers

Factor, and solve for $x$. Since this is an inequality, these are the boundary points.

$(x−4)(x+5)<0$
The boundary points are $4$ and $−5$.

Plot your boundary points on a number line. Test a point in each region to see which region(s) make the inequality true.

$−5<x<4$

This is a quadratic equation. Set it equal to $0$. Then factor and use the Zero Product Property or use the Quadratic Formula to solve.

Fractions represent division. Multiply all terms by $9$ to 'undo' the denominators.