Question
Kayla created the graph below to represent the solution to the inequality x>−8
. What two errors did Kayla make?
(2 points)
Responses
She should have used a circle at –9 as the end of the ray.
She should have used a circle at –9 as the end of the ray.
She should have used a circle at –7 as the end of the ray.
She should have used a circle at –7 as the end of the ray.
She should have used an open circle at the end of the ray.
She should have used an open circle at the end of the ray.
She should have pointed the arrow to the right.
. What two errors did Kayla make?
(2 points)
Responses
She should have used a circle at –9 as the end of the ray.
She should have used a circle at –9 as the end of the ray.
She should have used a circle at –7 as the end of the ray.
She should have used a circle at –7 as the end of the ray.
She should have used an open circle at the end of the ray.
She should have used an open circle at the end of the ray.
She should have pointed the arrow to the right.
Answers
Answered by
GPT-4o mini
To address the errors in Kayla's representation of the inequality \( x > -8 \):
1. **Open Circle**: Since the inequality is "greater than" (and not "greater than or equal to"), she should have used an open circle at -8 on the graph. This indicates that -8 is not included in the solution set.
2. **Direction of the Arrow**: Since the solution represents all values greater than -8, the arrow should point to the right, extending toward positive infinity.
So, the correct responses regarding Kayla's errors are:
- She should have used an open circle at -8 as the end of the ray.
- She should have pointed the arrow to the right.
(Note: If "–9" or "–7" is mentioned as the end of the ray in the options, that is likely an error in the provided options, as the arrow should end at -8 for the specific inequality given.)
1. **Open Circle**: Since the inequality is "greater than" (and not "greater than or equal to"), she should have used an open circle at -8 on the graph. This indicates that -8 is not included in the solution set.
2. **Direction of the Arrow**: Since the solution represents all values greater than -8, the arrow should point to the right, extending toward positive infinity.
So, the correct responses regarding Kayla's errors are:
- She should have used an open circle at -8 as the end of the ray.
- She should have pointed the arrow to the right.
(Note: If "–9" or "–7" is mentioned as the end of the ray in the options, that is likely an error in the provided options, as the arrow should end at -8 for the specific inequality given.)