Toll Bridge Problem?

📌 CONCEPT: A linear inequality is a statement that compares two expressions, where one is greater than, less than, equal to, or not equal to the other. It is a mathematical representation of a real-world situation where the relationship between two variables is compared.

📐 RULE / FORMULA: The solution to a linear inequality in one variable involves isolating the variable by performing inverse operations on both sides of the inequality.

💡 WORKED EXAMPLE: If the toll (x) is ₹40 and the customer can afford to pay ₹300, then the number of cars (y) can be found by solving the inequality 40y ≤ 300. By isolating y, we get y ≤ 300/40, which simplifies to y ≤ 7.5. Since y must be a whole number, the possible values of y are 0, 1, 2, 3, 4, 5, and 6.

⚠️ COMMON MISTAKE: Students often forget to consider the condition that the number of cars (y) must be a whole number, which may lead to incorrect solutions.