Question

Kayla created the graph below to represent the solution to the inequality Negative 8 less-than x.

A number line going from negative 11 to negative 1. A closed circle is at negative 8. Everything to the left of the circle is shaded.

What errors did she make? Select two options.
She should have used an open circle at the end of the ray.
She should have pointed the arrow to the right.
She should have used a circle at –7 as the end of the ray.
She should have used a circle at –9 as the end of the ray.

Answer 1

Kayla made two errors in the graph: using a closed circle instead of an open circle at -8 and shading everything to the left instead of the right of the circle.

Step-by-step explanation:

The errors Kayla made in creating the graph to represent the inequality Negative 8 less-than x are:

1. She should have used an open circle at -8 instead of a closed circle, as the inequality is < (less-than) and not ≤ (less than or equal to).
2. She should have shaded everything to the right of the circle, as the solution to Negative 8 less-than x includes all values greater than -8.