Subjects algebra

Class Students Inequalities Ef24E0

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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.