### Home > CCA2 > Chapter 3 > Lesson 3.2.4 > Problem 3-104

3-104.

Solve the equations and inequalities below. Check your solutions, if possible. Homework Help ✎

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*< 4This 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.