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The problem asks to determine an inequality that describes the acceptable weights of apples in bags.

- Each bag's target weight is **5 pounds**.
- The actual weight of each bag, \( x \), can deviate by **up to 0.25 pounds** from the target weight.

This situation describes a **tolerance range** around the target weight. To express this mathematically, the difference between the actual weight \( x \) and the target weight should be no more than 0.25 pounds. This can be written as:

\[
|x - 5| \leq 0.25
\]

This inequality states that the absolute difference between the actual weight \( x \) and 5 pounds must be less than or equal to 0.25 pounds.

Would you like further explanation or additional details on solving inequalities like this?

### Related Questions:
1. What does the absolute value symbol represent in inequalities?
2. How would you solve the inequality \( |x - 5| \leq 0.25 \)?
3. What would the solution set look like on a number line?
4. How can absolute value inequalities be applied in real-world scenarios?
5. What would happen if the tolerance was increased or decreased?

### Tip:
When dealing with absolute value inequalities, remember that they represent a range of values both above and below the target.

Apples are being weighed to be placed in 5-pound bags. The weight x, in pounds, of each bag should be within 0.25 pound of the target weight. Which inequality could be used to describe the acceptable bag weights?

Understand how to use absolute value inequalities to model acceptable bag weights of apples. Given a target weight of 5 pounds and a tolerance of 0.25 pounds, learn to form an inequality that represents the acceptable range of weights. This solution is suitable for students in Grades 7-10.

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