Answer:
To create a graphable inequality word problem, you can follow these steps:
1. Determine the variables: Decide on the quantities you want to represent in your problem. For example, you might use x to represent the number of items sold or y to represent the cost of a product.
2. Define the context: Set the scenario or situation in which the problem takes place. This could be related to real-life situations, such as buying groceries, saving money, or tracking the number of hours worked.
3. Formulate the inequality: Create an inequality that represents a relationship between the variables. This could involve greater than (>), less than (<), greater than or equal to (≥), or less than or equal to (≤).
4. Include relevant constraints: Add any additional conditions or limitations to the problem that make it realistic. For example, you might specify a budget limit or a minimum number of items to be sold.
5. Provide clear instructions: Clearly state the question or task that needs to be solved based on the given inequality. This could involve finding the range of possible values, determining when a condition is met, or identifying the feasible solutions.
Here's an example of a graphable inequality word problem:
"Maria wants to buy T-shirts for a school event. Each T-shirt costs $10, and she has a budget of $80. Write a graphable inequality to represent the number of T-shirts (x) she can buy, and determine the range of possible values for x."
In this example, we can set up the inequality as 10x ≤ 80, where x represents the number of T-shirts Maria can buy. The inequality states that the total cost of the T-shirts (10x) should be less than or equal to her budget of $80. To determine the range of possible values for x, we can solve the inequality and find that x ≤ 8. Therefore, Maria can buy at most 8 T-shirts within her budget.
Explanation: