Question

Kayla created the graph below to represent the solution to the inequality x<−3
. What two errors did Kayla make?

line withe filled circle starting from -3 passing 10

(2 points)
Responses

She should have used a circle at –2 as the end of the ray.
She should have used a circle at –2 as the end of the ray.

She should have pointed the arrow to the left.
She should have pointed the arrow to the left.

She should have used a circle at –4 as the end of the ray.
She should have used a circle at –4 as the end of the ray.

She should have used a closed circle at the end of the ray.

Answer 1

Kayla made the following two errors:

1. **She should have pointed the arrow to the left.** Since the inequality is \( x < -3 \), the graph should extend to the left of -3, indicating that values less than -3 are included in the solution.

2. **She should have used a closed circle at the end of the ray.** Since the inequality is strictly less than (-3), she should use an open circle at -3, not a filled circle. A filled circle would indicate that -3 is included in the solution, which it is not.

So the correct options reflecting her mistakes would be:

- She should have pointed the arrow to the left.
- She should have used an open circle at -3 as the point of the ray.

(Note: None of the provided options mentioned specifically mention using an open circle at -3, but the correct action is to NOT use a filled circle there.)