4. An art teacher needs to buy at least 60 brushes for her class. The brushes are sold in packs of 8. In which inequality does n represent the minimum number of packs the teacher needs to buy for her class? A. 8n ≥ 60 B. 8n≤ 60 OC. 8260n OD. 8 ≤ 60n 80 Powered by Linkit! 4 of 36

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Educational Page Content**

---

### Algebra Lesson: Solving Inequalities with Word Problems

#### Problem 4 of 36

**Problem:**
An art teacher needs to buy at least 60 brushes for her class. The brushes are sold in packs of 8.

In which inequality does \( n \) represent the minimum number of packs the teacher needs to buy for her class?

**Options:**
A. \( 8n \geq 60 \)

B. \( 8n \leq 60 \)

C. \( 8 \geq 60n \)

D. \( 8 \leq 60n \)

---

**Explanation:**
This problem requires solving a real-life scenario with a mathematical inequality. The teacher needs a minimum number of packs of brushes, each pack containing 8 brushes, so that the total is at least 60 brushes.

To solve this, we need to represent the total number of brushes bought in terms of \( n \), the number of packs bought:

- If each pack contains 8 brushes, then the total number of brushes in \( n \) packs is \( 8n \).
- The teacher needs at least 60 brushes, so the inequality representing this requirement is \( 8n \geq 60 \).

Hence, the correct inequality is:
\[ \boxed{8n \geq 60} \]

---

**Graphical Representation:**
There are no graphs or diagrams included in this particular question. The interface features some test navigation buttons and controls at the top and bottom of the screen, which include a number indicator (4 of 36), a home button, a flag button, navigation arrows, and some control buttons for the testing environment.

The question is part of a digital classroom tool "Powered by LinkIt!".

---

**Note:**
For similar inequalities, always express the relationship between the parts (in this case, packs and brushes) using a variable (here \( n \)), and ensure that the inequality matches the real-life requirement described in the problem.

---

End of Page
Transcribed Image Text:**Educational Page Content** --- ### Algebra Lesson: Solving Inequalities with Word Problems #### Problem 4 of 36 **Problem:** An art teacher needs to buy at least 60 brushes for her class. The brushes are sold in packs of 8. In which inequality does \( n \) represent the minimum number of packs the teacher needs to buy for her class? **Options:** A. \( 8n \geq 60 \) B. \( 8n \leq 60 \) C. \( 8 \geq 60n \) D. \( 8 \leq 60n \) --- **Explanation:** This problem requires solving a real-life scenario with a mathematical inequality. The teacher needs a minimum number of packs of brushes, each pack containing 8 brushes, so that the total is at least 60 brushes. To solve this, we need to represent the total number of brushes bought in terms of \( n \), the number of packs bought: - If each pack contains 8 brushes, then the total number of brushes in \( n \) packs is \( 8n \). - The teacher needs at least 60 brushes, so the inequality representing this requirement is \( 8n \geq 60 \). Hence, the correct inequality is: \[ \boxed{8n \geq 60} \] --- **Graphical Representation:** There are no graphs or diagrams included in this particular question. The interface features some test navigation buttons and controls at the top and bottom of the screen, which include a number indicator (4 of 36), a home button, a flag button, navigation arrows, and some control buttons for the testing environment. The question is part of a digital classroom tool "Powered by LinkIt!". --- **Note:** For similar inequalities, always express the relationship between the parts (in this case, packs and brushes) using a variable (here \( n \)), and ensure that the inequality matches the real-life requirement described in the problem. --- End of Page
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