Question

solve the inequality $n - 2 \leq -5$.
$n \leq -3$
graph the solution set of the inequality.

Explanation:

Step1: Solve the inequality

To solve \( n - 2 \leq -5 \), we add 2 to both sides of the inequality.
\( n - 2 + 2 \leq -5 + 2 \)
\( n \leq -3 \)

Step2: Graph the solution

The solution \( n \leq -3 \) means all real numbers less than or equal to -3. On the number line, we use a closed dot at -3 (because the inequality is "less than or equal to") and draw an arrow to the left (indicating all numbers less than -3).

Answer:

To graph \( n \leq -3 \):

1. Locate -3 on the number line.
2. Place a closed dot (filled circle) at -3 (since the inequality includes equality, \( n = -3 \) is a solution).
3. Draw an arrow starting from the closed dot at -3 and pointing to the left (towards negative infinity) to represent all numbers less than -3.