1. **Problem statement:**
In a class, there are 3 more girls than boys. Let $x$ represent the number of boys in the class.
We want to translate the following situations into inequalities:
a) There are at least 30 students in the class.
b) There are 25 students or less in the class.
c) There are 28 students or more in the class.
2. **Define the total number of students:**
Number of boys = $x$
Number of girls = $x + 3$
Total students = boys + girls = $x + (x + 3) = 2x + 3$
3. **Translate each situation into an inequality:**
**a) At least 30 students:**
This means total students are greater than or equal to 30.
$$2x + 3 \geq 30$$
**b) 25 students or less:**
This means total students are less than or equal to 25.
$$2x + 3 \leq 25$$
**c) 28 students or more:**
This means total students are greater than or equal to 28.
$$2x + 3 \geq 28$$
4. **Summary:**
- a) $2x + 3 \geq 30$
- b) $2x + 3 \leq 25$
- c) $2x + 3 \geq 28$
These inequalities represent the given situations using the variable $x$ for the number of boys.
Class Students Inequalities Ef24E0
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.