Question
Harry's older brother practiced soccer for 6.5 hours last weekend. Harry is competitive, so this weekend he plans to practice even longer than his brother.
Let p represent the time, in hours, that Harry plans to practice soccer. Which inequality models the story?
Graph the inequality that models the story.
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it
Let p represent the time, in hours, that Harry plans to practice soccer. Which inequality models the story?
Graph the inequality that models the story.
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it
Answers
GPT-4o mini
To model the situation you've described, we can set up the following inequality:
\[ p > 6.5 \]
Here, \( p \) represents the number of hours Harry plans to practice soccer, and since he wants to practice **longer** than his brother (who practiced for 6.5 hours), the inequality is "greater than" (>) rather than "greater than or equal to" (≥).
### Graphing the Inequality
1. **Choose a number line**: Draw a horizontal line that represents the hours of practice.
2. **Mark the point 6.5**: Place a point on the line at 6.5. Since Harry is practicing **longer than** his brother, we'll use an **open circle** at 6.5 to indicate that this value is not included in the solution.
3. **Draw the ray**: From the open circle at 6.5, draw a ray to the right (to indicate values greater than 6.5).
The resulting graph will show an open circle at 6.5 and a ray extending to the right, indicating that Harry's practice time can be any value greater than 6.5 hours.
\[ p > 6.5 \]
Here, \( p \) represents the number of hours Harry plans to practice soccer, and since he wants to practice **longer** than his brother (who practiced for 6.5 hours), the inequality is "greater than" (>) rather than "greater than or equal to" (≥).
### Graphing the Inequality
1. **Choose a number line**: Draw a horizontal line that represents the hours of practice.
2. **Mark the point 6.5**: Place a point on the line at 6.5. Since Harry is practicing **longer than** his brother, we'll use an **open circle** at 6.5 to indicate that this value is not included in the solution.
3. **Draw the ray**: From the open circle at 6.5, draw a ray to the right (to indicate values greater than 6.5).
The resulting graph will show an open circle at 6.5 and a ray extending to the right, indicating that Harry's practice time can be any value greater than 6.5 hours.