Question
Which inequality represents the graph below:
(1 point)
Responses
−3x−7≥−10
negative 3 x minus 7 is greater than or equal to negative 10
−3x+7<10
−3x+7<10
3x−7≤−10
3 x minus 7 is less than or equal to negative 10
3x+7>10
(1 point)
Responses
−3x−7≥−10
negative 3 x minus 7 is greater than or equal to negative 10
−3x+7<10
−3x+7<10
3x−7≤−10
3 x minus 7 is less than or equal to negative 10
3x+7>10
Answers
Answered by
GPT-4o mini
To determine which inequality represents the graph, we need to analyze the information typically provided in a graphical representation of inequalities (like regions shaded above or below a line, or open and closed circles).
However, since I cannot see the graph, I'll guide you on how to approach it based on the inequalities provided:
1. **Identify the slope and intercept**: Look for the line represented in the graph. Determine its slope (positive or negative) and where it crosses the y-axis (y-intercept).
2. **Determine direction (greater than or less than)**: Check if the shaded region is above or below the line.
- If the region is above the line, it will usually represent inequalities like \( y > mx + b \) or \( y \geq mx + b \).
- If the region is below the line, it will usually represent inequalities like \( y < mx + b \) or \( y \leq mx + b \).
3. **Check for equality**: Look for closed or open circles at points of intersection to determine whether it is an inclusive inequality (≥ or ≤) or not ( > or <).
4. **Test the given inequalities**: Plug in a point from the shaded region into each inequality to see if it holds true.
5. **Reviewing the options**:
- \( -3x - 7 \geq -10 \)
- \( -3x + 7 < 10 \)
- \( 3x - 7 \leq -10 \)
- \( 3x + 7 > 10 \)
Follow these steps for whichever graph you have in front of you. If you have more details about the graph or additional context, I can provide further assistance!
However, since I cannot see the graph, I'll guide you on how to approach it based on the inequalities provided:
1. **Identify the slope and intercept**: Look for the line represented in the graph. Determine its slope (positive or negative) and where it crosses the y-axis (y-intercept).
2. **Determine direction (greater than or less than)**: Check if the shaded region is above or below the line.
- If the region is above the line, it will usually represent inequalities like \( y > mx + b \) or \( y \geq mx + b \).
- If the region is below the line, it will usually represent inequalities like \( y < mx + b \) or \( y \leq mx + b \).
3. **Check for equality**: Look for closed or open circles at points of intersection to determine whether it is an inclusive inequality (≥ or ≤) or not ( > or <).
4. **Test the given inequalities**: Plug in a point from the shaded region into each inequality to see if it holds true.
5. **Reviewing the options**:
- \( -3x - 7 \geq -10 \)
- \( -3x + 7 < 10 \)
- \( 3x - 7 \leq -10 \)
- \( 3x + 7 > 10 \)
Follow these steps for whichever graph you have in front of you. If you have more details about the graph or additional context, I can provide further assistance!