Question

what inequality does the number line show?
number line with ticks at 5, 6 (open circle), 7, 8, 9, 10; blue arrow pointing left from open circle at 6
options: ( x < 6 ), ( x leq 6 ), ( x geq 6 ), ( x > 6 )

Explanation:

Step1: Analyze the number line

The number line has an open circle at 6, which means 6 is not included. The blue arrow points to the left, indicating values less than 6.

Step2: Match with inequalities

• \(x < 6\) means values less than 6 (open circle, left arrow).
• \(x \leq 6\) would have a closed circle.
• \(x \geq 6\) is right arrow or closed at 6.
• \(x > 6\) is right arrow from open 6.

Answer:

\(x < 6\)