Use the image to answer the question.

Question

A number line ranges from negative 5 to 5 in increments of 1. An open point is plotted at 2, with a solid line extending right, beyond 5. An open point is plotted at 0, with a dotted line extending left, beyond negative 5.

What is the solution set to the inequalities on the graph?

(1 point)
x< or x>
Check

Answer 1

Based on your description of the number line:

• There is an open point at 2 with a solid line extending right, indicating that the values greater than 2 are included in the solution set. This is represented as \( x > 2 \).

• There is also an open point at 0 with a dotted line extending left, indicating that the values less than 0 are included but not 0 itself. This is represented as \( x < 0 \).

Thus, the solution set to the inequalities on the graph is:

• \( x < 0 \) (for the part to the left of 0)
• \( x > 2 \) (for the part to the right of 2)

Therefore, the solution set is:

• \( x < 0 \) or \( x > 2 \)