Numbers whose distance from zero is greater than five units would be less than \(−5\) and greater than 5 on the number line (Figure \(\Page Index\)).
Example \(\Page Index\) The ideal diameter of a rod needed for a machine is 60 mm.
What range of weight will be acceptable to the inspector without causing the bakery being fined?
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
All the numbers between \(−5\) and 5 are less than five units from zero (Figure \(\Page Index\)).
After solving an inequality, it is often helpful to check some points to see if the solution makes sense.
While this is not a complete check, it often helps verify the solution.
What happens for absolute value inequalities that have “greater than”?
At Lilly’s Bakery, the ideal weight of a loaf of bread is 24 ounces.
By law, the actual weight can vary from the ideal by 1.5 ounces.