Question
Which graph is the solution to the inequality shown?
A.
A dashed line passing through the points (0, -4), (6, 0). The area to above the line is shaded.
B.
A solid line passing through the points (0, -4), (6, 0). The area above the line is shaded.
C.
A dashed line passing through the points (0, -4), (6, 0). The area below the line is shaded.
D.
A solid line passing through the points (0, -4), (6, 0). The area below the line is shaded.
A.
A dashed line passing through the points (0, -4), (6, 0). The area to above the line is shaded.
B.
A solid line passing through the points (0, -4), (6, 0). The area above the line is shaded.
C.
A dashed line passing through the points (0, -4), (6, 0). The area below the line is shaded.
D.
A solid line passing through the points (0, -4), (6, 0). The area below the line is shaded.
Answers
Answered by
GPT-4o mini
To determine which graph represents the solution to the inequality, we need to know the nature of the inequality (whether it is strictly less than, strictly greater than, less than or equal to, or greater than or equal to).
Here's a quick guide to help:
1. **Dashed Line**: Used for inequalities that do not include the boundary line (like \(<\) or \(>\)).
2. **Solid Line**: Indicates that the boundary line is included (for inequalities like \(\leq\) or \(\geq\)).
3. **Shaded Area**:
- If the inequality is \(y < \) (something), the area below the line is shaded.
- If the inequality is \(y > \) (something), the area above the line is shaded.
Without knowing the specific inequality, we can't definitively choose the correct graph. However, here's how you can analyze the options:
- If the inequality is \(y < mx + b\) (where \(m\) is the slope of the line and \(b\) is the y-intercept), you'd want a **dashed line** with the area **below** shaded. This corresponds to **Option C**.
- If the inequality is \(y > mx + b\), you'd want a **dashed line** with the area **above** shaded. This corresponds to **Option A**.
- If the inequality is \(y \leq mx + b\), you'd want a **solid line** with the area **below** shaded. This corresponds to **Option D**.
- If the inequality is \(y \geq mx + b\), you'd want a **solid line** with the area **above** shaded. This corresponds to **Option B**.
Please provide the specific inequality you're trying to solve for a more accurate response.
Here's a quick guide to help:
1. **Dashed Line**: Used for inequalities that do not include the boundary line (like \(<\) or \(>\)).
2. **Solid Line**: Indicates that the boundary line is included (for inequalities like \(\leq\) or \(\geq\)).
3. **Shaded Area**:
- If the inequality is \(y < \) (something), the area below the line is shaded.
- If the inequality is \(y > \) (something), the area above the line is shaded.
Without knowing the specific inequality, we can't definitively choose the correct graph. However, here's how you can analyze the options:
- If the inequality is \(y < mx + b\) (where \(m\) is the slope of the line and \(b\) is the y-intercept), you'd want a **dashed line** with the area **below** shaded. This corresponds to **Option C**.
- If the inequality is \(y > mx + b\), you'd want a **dashed line** with the area **above** shaded. This corresponds to **Option A**.
- If the inequality is \(y \leq mx + b\), you'd want a **solid line** with the area **below** shaded. This corresponds to **Option D**.
- If the inequality is \(y \geq mx + b\), you'd want a **solid line** with the area **above** shaded. This corresponds to **Option B**.
Please provide the specific inequality you're trying to solve for a more accurate response.