Question

choose the correct graph for the compound inequality below.

$n\geq10$ or $n < 9$

Explanation:

Step1: Analyze \(n\geq10\)

For \(n\geq10\), we use a closed - circle at \(n = 10\) (because \(n = 10\) is included in the solution set) and an arrow to the right (since values greater than \(10\) are also included).

Step2: Analyze \(n\lt9\)

For \(n\lt9\), we use an open - circle at \(n = 9\) (because \(n = 9\) is not included in the solution set) and an arrow to the left (since values less than \(9\) are included).

Answer:

The first graph (with an open - circle at \(9\) and a closed - circle at \(10\), arrows in the appropriate directions for \(n\lt9\) and \(n\geq10\)) is the correct graph.