Question

which graph represents the compound inequality?
n < -2 or n ≥ 4

Explanation:

Step1: Analyze $n < -2$

On a number line, this is an open circle at $-2$ (since $n$ cannot equal $-2$) with an arrow pointing left (all values less than $-2$).

Step2: Analyze $n \geq 4$

On a number line, this is a closed circle at $4$ (since $n$ can equal $4$) with an arrow pointing right (all values greater than or equal to $4$).

Step3: Match to the graph

Find the option that combines these two features: open circle at $-2$ (left arrow) and closed circle at $4$ (right arrow).

Answer:

The first option (topmost graph: open circle at $4$, closed circle at $-2$, arrows pointing left from $-2$ and right from $4$)