In your journal, you made up an inequality and solved it. You also brainstormed what it would look like to communicate your solution clearly if your inequality represented a real-world problem. In your first post, share your inequality and solution with your peers. Then ask your peers if they can come up with a real-world problem that could be solved using your inequality.
Next, read your peers’ inequalities. Respond to two of your peers by providing a unique real-world problem that could be solved with their inequality. Explain what if would look like to communicate the solution to your real-world problem clearly.
My inequality: 5x + 2 < 12
Solution: Subtracting 2 from both sides of the inequality, we get 5x < 10. Dividing both sides by 5 gives us x < 2.
Real-world problem: One possible real-world problem that could be solved using this inequality is determining the maximum amount of money a person can spend on a meal at a restaurant and still have enough left over from their $12 budget to purchase a $2 dessert. We can represent the cost of the meal as 5x (where x represents the cost of the meal in dollars) and the cost of the dessert as 2. By setting up the inequality 5x + 2 < 12, we are trying to find the maximum value of x that satisfies the condition.
To communicate the solution clearly, we would explain that based on the inequality, the maximum cost of the meal (5x) should be less than $10 (as x < 2, and if the meal cost exceeds $10, the total expense would exceed $12). Therefore, the person can spend a maximum of $10 on the meal to have enough money left over for the $2 dessert and stay within their budget.
shorter please
Inequality: 5x + 2 < 12
Solution: x < 2
Real-world problem: Determining the maximum cost a person can spend on a meal at a restaurant (represented by 5x) to have enough money left over from their $12 budget to purchase a $2 dessert.
Communicating the solution: To stay within their budget, the person should spend a maximum of $10 on the meal, ensuring they have $2 left for the dessert.