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Chapter 4: Problem 68

Translate to an inequality. A full-time student must take at least 12 credits of classes.

Short Answer

Expert verified
\( x \geq 12 \)

Step by step solution

01

- Identify the variable

Let the variable represent the number of credits a full-time student takes. Let this variable be denoted as \( x \).
02

- Understand the condition

The exercise states that a full-time student must take at least 12 credits of classes. This means the number of credits \( x \) should be greater than or equal to 12.
03

- Write the inequality

Using the information from step 2, the inequality can be written as \( x \geq 12 \).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

full-time student
In most educational institutions, the term 'full-time student' has a specific meaning. It refers to a student who is enrolled in a certain minimum number of credits or courses during a semester.
Being a full-time student often comes with several benefits:
  • Eligibility for financial aid.
  • Access to campus facilities.
  • Participation in student activities and clubs.
Typically, a full-time student must take a minimum of 12 credits. This means they are taking a full load of classes, enough to meet the institution's criteria for full-time enrollment and likely stay on track to graduate on time.
number of credits
The term 'number of credits' refers to the academic value assigned to a course or class. Each credit generally corresponds to one hour of in-class time per week over the semester.
Therefore, a 3-credit class would typically meet for 3 hours a week.
To be considered full-time, a student must enroll in at least 12 credits per semester. This usually means taking four to six classes, depending on the credit value of each course. Understanding the number of credits helps students plan their schedules effectively and ensure they meet all graduation requirements.
inequality notation
Inequality notation is a way to represent mathematical relationships where quantities are not equal. It involves symbols like greater than (>), less than (<), greater than or equal to (鈮�), and less than or equal to (鈮�).
In the given exercise, we had to translate the condition: A full-time student must take at least 12 credits of classes.
To express this in inequality notation:
  • First, identify the variable: Let it be represented by \( x \), which denotes the number of credits.
  • Understand the condition: \( x \) must be at least 12.
  • Write the inequality: Hence, \( x \) must be greater than or equal to 12, which we write as \( x \geq 12 \).
This inequality shows that for a student to be considered full-time, the number of credits they are taking must meet or exceed 12.

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