Question

part 3 of 3 (c) fill in the blanks. the cereal box must weigh greater than \\(\square\\) ounces and less than \\(\square\\) ounces in order to pass the quality assurance test. this can be represented by the compound inequality \\(\square < b < \square\\).

Explanation:

Step1: Analyze the number line

The open circle at 25 means the value is not included, and the open circle at 26 also means that value is not included. The line segment between them indicates the values between 25 and 26.

Step2: Determine the inequality

So the cereal box must weigh greater than 25 ounces and less than 26 ounces. In terms of the variable \( b \) (representing the weight), the compound inequality is \( 25 < b < 26 \).

Answer:

The cereal box must weigh greater than \(\boldsymbol{25}\) ounces and less than \(\boldsymbol{26}\) ounces in order to pass the quality assurance test. This can be represented by the compound inequality \(\boldsymbol{25} < b < \boldsymbol{26}\).