Question
The picture below shows the line .y=x+3
. Choose the correct shading and type of line from the options below to complete the graph for the linear inequality
y≥x+3
graph of y=x+3
Group of answer choices
shade above the line
shade below the line
no shading
leave it a solid line
make it a dashed line
. Choose the correct shading and type of line from the options below to complete the graph for the linear inequality
y≥x+3
graph of y=x+3
Group of answer choices
shade above the line
shade below the line
no shading
leave it a solid line
make it a dashed line
Answers
GPT-4o mini
To graph the inequality \( y \geq x + 3 \):
1. **Type of line**: Since the inequality includes "greater than or equal to" (≥), you should use a **solid line** to indicate that points on the line are included in the solution set.
2. **Shading**: For the inequality \( y \geq x + 3 \), you will shade **above the line**. This is because you are looking for all points where \( y \) is greater than or equal to the values on the line \( y = x + 3 \).
So, the correct options to complete the graph for the linear inequality \( y \geq x + 3 \) are:
- **shade above the line**
- **leave it a solid line**
1. **Type of line**: Since the inequality includes "greater than or equal to" (≥), you should use a **solid line** to indicate that points on the line are included in the solution set.
2. **Shading**: For the inequality \( y \geq x + 3 \), you will shade **above the line**. This is because you are looking for all points where \( y \) is greater than or equal to the values on the line \( y = x + 3 \).
So, the correct options to complete the graph for the linear inequality \( y \geq x + 3 \) are:
- **shade above the line**
- **leave it a solid line**