Learning to solve and graph an absolute value inequality with a rational quantity

The video tutorial explains how to solve and graph absolute value inequalities. It begins by isolating the absolute value expression, then setting up two cases based on the inequality type. The instructor demonstrates how to eliminate fractions and solve the inequalities, followed by graphing the solution on a number line. The lesson concludes with identifying the intersection of the solutions as the final answer.

What is the first step to solve the absolute value inequality mentioned in the text?

Explain how to isolate the absolute value in the given inequality.

What happens to the inequality sign when negating the absolute value?

Describe the process of getting rid of fractions in the inequality.

How do you determine the solution set for the inequalities derived from the absolute value?