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.

Question

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. put into your own words

Answer 1

My inequality: 3x + 2 > 10

Solution:
1. Subtract 2 from both sides to isolate the variable: 3x > 8
2. Divide both sides by 3 to solve for x: x > 8/3

Real-world problem that could be solved using this inequality:
Problem: A car rental company charges a flat fee of $10 plus $3 per hour for renting a car. Determine the number of hours a person needs to rent a car in order to pay more than $10.

To communicate the solution clearly, one could write an explanation stating that the inequality 3x + 2 > 10 represents the situation, where x represents the number of hours the car is rented. By solving the inequality, we find that x > 8/3, which means that a person needs to rent the car for more than 8/3 hours or approximately 2.67 hours in order to pay more than $10.