Question

which set describes the graph?
number line with open circle at 0, shaded to the right (from 0 towards positive numbers)
{x | x > 0} {x | x ≥ 0} {x | x < 0} {x | x ≤ 0}
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Explanation:

Step1: Analyze the graph's endpoint

The graph has an open circle at \( 0 \), which means \( 0 \) is not included in the set.

Step2: Analyze the direction of the graph

The graph extends to the right of \( 0 \), indicating values greater than \( 0 \).

Step3: Match with the set notation

The set notation for values greater than \( 0 \) (excluding \( 0 \)) is \( \{x | x > 0\} \).

Answer:

\(\{x | x > 0\}\)