Learning Resources

Focus K: Absolute-Value and Inequalities

Example 1

Consider the geometric interpretation of absolute value in terms of distance. The expression means the distance from x to 1. The part "5" means start at x = 1and include values within 5 units of that point. This would take you to the numbers -4 and 6. Because the given inequality is based on "<," the interval is between these two numbers, and is described using "and."