Absolute Value Inequalities

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Graph the solution sets to each inequality: the absolute value of x, is less than 3, the absolute value of x, is greater than 3, and the absolute value of x, is greater than or equal to 3.
Graph the solution set to the absolute value of x + 1, is less than 5 and express it in interval notation
Graph the solution set to the absolute value of 2x minus 3, is greater than or equal to 5 and express it in interval notation
Graph the solution set to the absolute value of 4 minus x, is less than or equal to 3 and express it in interval notation
Graph the solution set to the absolute value of 3x minus x, is greater than 3 and express it in interval notation
Graph the solution set to the absolute value of 2x + 1, is less than negative 2 and express it in interval notation
Graph the solution set to the absolute value of 2x + 1, is greater than negative 2 and express it in interval notation