Question

Kayla created the graph below to represent the solution to the inequality −8<x . What two errors did Kayla make? NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question.(2 points)ResponsesShe 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 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 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 pointed the arrow to the right.

Answer 1

To analyze Kayla's graph for the inequality \(-8 < x\), we need to understand how to properly represent this inequality on a number line:

1. Open Circle vs. Closed Circle: Since the inequality is strictly less than (not less than or equal to), the correct representation at \(-8\) should be an open circle (indicating that \(-8\) is not included in the solutions).

2. Direction of the Ray: The inequality \(-8 < x\) means that \(x\) can take any value greater than \(-8\). Therefore, the arrow on the ray should point to the right (indicating all numbers greater than \(-8\)).

Based on this understanding, Kayla likely made the following two errors:

1. She should have used an open circle at \(-8\) instead of a closed circle (if she used a closed circle).
2. She should have pointed the arrow to the right, representing all values greater than \(-8\).

Based on your provided responses, the correct errors would be:

• She should have used an open circle at the end of the ray.
• She should have pointed the arrow to the right.

Make sure to verify these choices using the check answer feature available to you!