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.
While this is not a complete check, it often helps verify the solution.
What happens for absolute value inequalities that have “greater than”?
Let's first quickly review what the term "absolute value" means.
Solving Absolute Value Problems
The absolute value of a number is its distance from 0 on the number line.
The absolute value of a number is its distance from zero on the number line.
For the equation \(|x|=5\), we saw that both 5 and \(−5\) are five units from zero on the number line. \[\begin & & \ & & \ \nonumber \end\] What about the inequality \(|x|\leq 5\)?
Where are the numbers whose distance is less than or equal to 5?
We know \(−5\) and 5 are both five units from zero.