Question

which inequality matches the graph? 0 1 2 3 4 (number line with red line and mark at 3, options like x<3, x≤3, x>3, x≥3)

Explanation:

Step1: Analyze the number line graph

The graph has a red line with an open circle at 3 (assuming the open circle, as the circle is not filled) and the line is shaded to the left of 3. An open circle means the point 3 is not included, and shading to the left means values less than 3.

Step2: Match with inequality symbols

For a number line with an open circle at \(a\) and shading to the left, the inequality is \(x < a\). Here, \(a = 3\), so the inequality is \(x < 3\).

Answer:

\(x < 3\) (assuming the options include this, and based on the graph analysis: open circle at 3, shading left implies \(x\) is less than 3, so the inequality is \(x < 3\))