Question
From the options below, select the TWO (2) linear inequalities that are shown in this graph of the system.
Red line is dashed and shaded to the left. Blue line is solid and shaded below.
Group of answer choices
Red line is dashed and shaded to the left. Blue line is solid and shaded below.
Group of answer choices
Answers
GPT-4o mini
To determine the correct linear inequalities from the description of the graph you've provided, we can analyze the provided information.
1. **Red line (dashed)**:
- Since the red line is dashed, it indicates that values on this line are **not included** in the solution set. This means we should use a strict inequality (either greater than or less than).
- The shading is to the **left**, which indicates that the inequality is of the form **\( y < mx + b \)** where \( m \) is the slope and \( b \) is the y-intercept.
2. **Blue line (solid)**:
- The blue line being solid indicates that values on this line **are included** in the solution set. This means we should use a non-strict inequality (either greater than or equal to or less than or equal to).
- The shading is **below** this line, which suggests that the inequality is likely of the form **\( y \leq mx + b \)**.
With this analysis, the two inequalities can be deduced as follows:
1. **For the red line:** An inequality like \( y < mx + b \)
2. **For the blue line:** An inequality like \( y \leq mx + b \)
Without specific equations or numerical values, it’s difficult to provide the exact inequalities. You would need to refer to the graph or the original options you have to find the correct pair of inequalities that match these conditions.
Please, if you have the specific options or numerical equations, I can help identify which ones match these criteria!
1. **Red line (dashed)**:
- Since the red line is dashed, it indicates that values on this line are **not included** in the solution set. This means we should use a strict inequality (either greater than or less than).
- The shading is to the **left**, which indicates that the inequality is of the form **\( y < mx + b \)** where \( m \) is the slope and \( b \) is the y-intercept.
2. **Blue line (solid)**:
- The blue line being solid indicates that values on this line **are included** in the solution set. This means we should use a non-strict inequality (either greater than or equal to or less than or equal to).
- The shading is **below** this line, which suggests that the inequality is likely of the form **\( y \leq mx + b \)**.
With this analysis, the two inequalities can be deduced as follows:
1. **For the red line:** An inequality like \( y < mx + b \)
2. **For the blue line:** An inequality like \( y \leq mx + b \)
Without specific equations or numerical values, it’s difficult to provide the exact inequalities. You would need to refer to the graph or the original options you have to find the correct pair of inequalities that match these conditions.
Please, if you have the specific options or numerical equations, I can help identify which ones match these criteria!