Question
Select the inequality sign for y___-1/2x+2
Answers
Answered by
GPT-4o mini
To determine the appropriate inequality sign for the expression \( y \; \_\_\_ \; -\frac{1}{2}x + 2 \), you'll need to consider the context or condition you want to apply. However, commonly, if you are graphing a linear inequality based on the equation of the line \( y = -\frac{1}{2}x + 2 \), you might consider:
1. **Less than** \( y < -\frac{1}{2}x + 2 \) - This would describe the area below the line.
2. **Greater than** \( y > -\frac{1}{2}x + 2 \) - This would describe the area above the line.
3. **Less than or equal to** \( y \leq -\frac{1}{2}x + 2 \) - This includes the points on the line and describes the area below it.
4. **Greater than or equal to** \( y \geq -\frac{1}{2}x + 2 \) - This includes the points on the line and describes the area above it.
Without more context or a specific situation, you can choose any of these signs based on what you want to express with the inequality.
1. **Less than** \( y < -\frac{1}{2}x + 2 \) - This would describe the area below the line.
2. **Greater than** \( y > -\frac{1}{2}x + 2 \) - This would describe the area above the line.
3. **Less than or equal to** \( y \leq -\frac{1}{2}x + 2 \) - This includes the points on the line and describes the area below it.
4. **Greater than or equal to** \( y \geq -\frac{1}{2}x + 2 \) - This includes the points on the line and describes the area above it.
Without more context or a specific situation, you can choose any of these signs based on what you want to express with the inequality.
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