Question

what inequality does the number line show?
0 1 2 3 4 5
x < 1
x ≤ 1
x ≥ 1
x > 1

Explanation:

Step1: Analyze the number line

The number line has a closed (filled) circle at 1, which means 1 is included in the solution set. The arrow is pointing to the right, indicating all numbers greater than or equal to 1.

Step2: Match with the inequalities

• \(x < 1\) would be an open circle at 1 and arrow left, so no.
• \(x \leq 1\) would be closed circle at 1 and arrow left, so no.
• \(x \geq 1\) is closed circle at 1 and arrow right, which matches.
• \(x > 1\) would be open circle at 1 and arrow right, so no.

Answer:

C. \(x \geq 1\)