Answer:
The inequality is ![0.75x\geq y](https://tex.z-dn.net/?f=0.75x%5Cgeq%20y)
Step-by-step explanation:
Given : Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing.
To find : Which inequality represents this situation?
Solution : He plays trumpet for a minimum of 45 minutes
![45 \text{minutes}=\frac{45}{60}=\frac{3}{4}=0.75\text{hours}](https://tex.z-dn.net/?f=45%20%5Ctext%7Bminutes%7D%3D%5Cfrac%7B45%7D%7B60%7D%3D%5Cfrac%7B3%7D%7B4%7D%3D0.75%5Ctext%7Bhours%7D)
If x is the number of days that Lionel practices then he practices for at least
hours
y is the total number of hours he spends practicing
So, the inequality form is:
![0.75x\geq y](https://tex.z-dn.net/?f=0.75x%5Cgeq%20y)
i.e, 0.75x is greater than y.