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.
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.
3 answers
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.
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.
8 answers