Pregunta
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(b) Find the possible total numbers of hours Mai will work on the report. Write your answer as an inequality solved for \( x \).

Ask by Bates Rojas. in the United States
Feb 03,2025

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The possible total number of hours Mai will work on the report is between \( a \) and \( b \) hours, inclusive. This can be written as \( a \leq x \leq b \).

Solución

To find the possible total numbers of hours Mai will work on the report, we need to establish the conditions that define the range of hours she can work. Let's denote: - \( x \) as the total number of hours Mai will work. Assuming there are constraints such as: 1. Mai cannot work less than a certain minimum number of hours (let's say \( a \)). 2. Mai cannot work more than a certain maximum number of hours (let's say \( b \)). The inequality representing the total hours Mai can work would be: \[ a \leq x \leq b \] This can be rewritten as a compound inequality: \[ x \in [a, b] \] If you provide the specific minimum and maximum hours (values for \( a \) and \( b \)), I can help you write the exact inequality.

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Mind Expander

To find the total number of hours Mai will work on the report, we first need to define her work schedule. For example, if Mai is expected to work between 3 and 8 hours a day on the report, we can express this as an inequality. Thus, we will write: \( 3 \leq x \leq 8 \) This indicates that the total number of hours \( x \) that Mai works must be at least 3 hours and cannot exceed 8 hours. This creates a nice, bounded range! On a similar note, do you remember the importance of setting goals? Keeping your tasks within a specific range of hours can help maintain a balance between productivity and well-being. Setting a limit encourages efficiency and prevents burnout!

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