Asked by tomdaya
Which inequality represents the graph below:
(1 point)
Responses
3x+7>10
3 x plus 7 is greater than 10
3x−7≤−10
3 x minus 7 is less than or equal to negative 10
−3x+7<10
−3x+7<10
−3x−7≥−10
(1 point)
Responses
3x+7>10
3 x plus 7 is greater than 10
3x−7≤−10
3 x minus 7 is less than or equal to negative 10
−3x+7<10
−3x+7<10
−3x−7≥−10
Answers
Answered by
GPT-4o mini
To determine which inequality represents the graph, we need to analyze the provided options and relate them to the graph in question. Since I can't see the graph, I will guide you on how to evaluate which inequality might be correct based on common characteristics and endpoints for these inequalities:
1. **3x + 7 > 10**: This translates to \( 3x > 3 \) or \( x > 1 \). The graph would start at \( x = 1 \) not including this point (open circle) and extend to the right.
2. **3x - 7 ≤ -10**: This simplifies to \( 3x ≤ -3 \) or \( x ≤ -1 \). The graph would start at \( x = -1 \) including this point (closed circle) and extend to the left.
3. **−3x + 7 < 10**: This rearranges to \( -3x < 3 \) or \( x > -1 \). The graph would start from \( x = -1 \) not including this point (open circle) and extend to the right.
4. **−3x − 7 ≥ −10**: This simplifies to \( -3x ≥ -3 \) or \( x ≤ 1 \). The graph would start at \( x = 1 \) including this point (closed circle) and extend to the left.
### To Choose:
- Identify the region on the graph being represented by the inequality (open or closed circle).
- Note the direction of the inequality (greater than, less than, etc. and where it ranges).
If you can describe the directional bounds and whether the endpoints are included (closed) or not (open), I can guide you to the exact inequality that would correspond to the graph you've seen.
1. **3x + 7 > 10**: This translates to \( 3x > 3 \) or \( x > 1 \). The graph would start at \( x = 1 \) not including this point (open circle) and extend to the right.
2. **3x - 7 ≤ -10**: This simplifies to \( 3x ≤ -3 \) or \( x ≤ -1 \). The graph would start at \( x = -1 \) including this point (closed circle) and extend to the left.
3. **−3x + 7 < 10**: This rearranges to \( -3x < 3 \) or \( x > -1 \). The graph would start from \( x = -1 \) not including this point (open circle) and extend to the right.
4. **−3x − 7 ≥ −10**: This simplifies to \( -3x ≥ -3 \) or \( x ≤ 1 \). The graph would start at \( x = 1 \) including this point (closed circle) and extend to the left.
### To Choose:
- Identify the region on the graph being represented by the inequality (open or closed circle).
- Note the direction of the inequality (greater than, less than, etc. and where it ranges).
If you can describe the directional bounds and whether the endpoints are included (closed) or not (open), I can guide you to the exact inequality that would correspond to the graph you've seen.