Question

1. -11 ≥ 6 - 2n - 5 = n ≥ 6

Explanation:

Step1: Simplify right-hand side

$-11 \geq 6 - 5 - 2n$
$-11 \geq 1 - 2n$

Step2: Isolate the term with $n$

$-11 - 1 \geq -2n$
$-12 \geq -2n$

Step3: Solve for $n$ (reverse inequality)

$\frac{-12}{-2} \leq n$
$6 \leq n$

Answer:

$n \geq 6$
(The number line graph with a closed dot at 6 and an arrow pointing right is correct for this solution.)