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 pointed the arrow to the right. She should have pointed the arrow to the right. 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 –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.

Answer 1

Kayla's errors in representing the inequality \( x > -8 \) are:

1. **She should have pointed the arrow to the right.** The solution to the inequality \( x > -8 \) means that \( x \) can take any value greater than \(-8\), which requires the arrow to point to the right, away from \(-8\).

2. **She should have used an open circle at the end of the ray.** Since the inequality is strict (greater than, and not greater than or equal to), \(-8\) itself is not included in the solution. Therefore, an open circle should be placed at \(-8\) to indicate that \(-8\) is not part of the solution set.

Thus, the correct answers are both the need to point the arrow to the right and to use an open circle at \(-8\).