1. The problem is to solve an inequality using the number line method. 2. The number line method involves finding critical points where the expression equals zero or is undefined, then testing intervals between these points to determine where the inequality holds. 3. First, identify the critical points by setting the expression equal to zero. 4. Plot these points on a number line. 5. Choose test points in each interval created by the critical points. 6. Substitute these test points into the inequality to check if the inequality is true or false in that interval. 7. Collect all intervals where the inequality is true to find the solution. This method helps visualize the solution set clearly and is especially useful for polynomial and rational inequalities.