Asked by YOUR TEACHER
Which inequality represents the graph below
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
(1 point)
○ -3x - 7 ≥ -10
○ 3x + 7 > 10
○ 3x - 7 < -10
○ -3x + 7 < 10
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
(1 point)
○ -3x - 7 ≥ -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 options given and see which one matches the behavior illustrated by the graph.
1. **-3x - 7 ≥ -10**: Rearranging gives us -3x ≥ -3, which simplifies to x ≤ 1.
2. **3x + 7 > 10**: Rearranging gives us 3x > 3, which simplifies to x > 1.
3. **3x - 7 < -10**: Rearranging gives us 3x < -3, which simplifies to x < -1.
4. **-3x + 7 < 10**: Rearranging gives us -3x < 3, which simplifies to x > -1.
Without the visual representation of the graph, we would assume we need to consider the possible regions that these inequalities represent.
- If the graph shows a solid line to the left of 1 (meaning it includes 1), then the first option (-3x - 7 ≥ -10) would be correct.
- If the graph shows a dashed line starting just after 1, then the second option (3x + 7 > 10) would be correct.
- If there’s a line showing values that fall below -1 with a solid line included, then the third option (3x - 7 < -10) would be valid.
- Finally, if the graph depicts values greater than -1 by a solid line, then the fourth option (-3x + 7 < 10) represents that.
Please refer to the actual graph to determine which area of x is being represented by the shaded region or the solid/dashed line. Given that I can't see the graph, I cannot conclusively say which inequality is correct.
1. **-3x - 7 ≥ -10**: Rearranging gives us -3x ≥ -3, which simplifies to x ≤ 1.
2. **3x + 7 > 10**: Rearranging gives us 3x > 3, which simplifies to x > 1.
3. **3x - 7 < -10**: Rearranging gives us 3x < -3, which simplifies to x < -1.
4. **-3x + 7 < 10**: Rearranging gives us -3x < 3, which simplifies to x > -1.
Without the visual representation of the graph, we would assume we need to consider the possible regions that these inequalities represent.
- If the graph shows a solid line to the left of 1 (meaning it includes 1), then the first option (-3x - 7 ≥ -10) would be correct.
- If the graph shows a dashed line starting just after 1, then the second option (3x + 7 > 10) would be correct.
- If there’s a line showing values that fall below -1 with a solid line included, then the third option (3x - 7 < -10) would be valid.
- Finally, if the graph depicts values greater than -1 by a solid line, then the fourth option (-3x + 7 < 10) represents that.
Please refer to the actual graph to determine which area of x is being represented by the shaded region or the solid/dashed line. Given that I can't see the graph, I cannot conclusively say which inequality is correct.