Question

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

Explanation:

Step1: Analyze the inequality \(n < - 2\)

For \(n < - 2\), the graph has an open circle at \(-2\) (because \(-2\) is not included in the solution set) and the arrow points to the left (towards smaller numbers).

Step2: Analyze the inequality \(n\geq4\)

For \(n\geq4\), the graph has a closed circle at \(4\) (because \(4\) is included in the solution set) and the arrow points to the right (towards larger numbers).

Answer:

The second graph (the one with an open circle at \(-2\) and a closed circle at \(4\) with arrows in the appropriate directions for \(n < - 2\) and \(n\geq4\)) represents the compound inequality \(n < - 2\) or \(n\geq4\).