Question

1. -9 > -5n - 4n = n > 1

Explanation:

Step1: Combine like terms

$-9 > -9n$

Step2: Divide by -9, reverse inequality

$\frac{-9}{-9} < \frac{-9n}{-9}$
$1 < n$

Step3: Match to number line

The inequality $n > 1$ corresponds to an open circle at 1 and an arrow pointing right, which matches the given number line.

Answer:

The simplified inequality is $n > 1$, which matches the provided number line graph.