Question

solve the inequality ( n - 2 leq - 5 ).
( n leq - 3 )
graph the solution set of the inequality.

Explanation:

Step1: Solve the inequality

Given \(n - 2\leq - 5\). Add 2 to both sides of the inequality.
\(n-2 + 2\leq-5 + 2\)
\(n\leq-3\)

Step2: Graph the solution set

For the inequality \(n\leq - 3\), on the number - line:

• Place a closed circle (because the inequality includes equality, i.e., \(n=-3\) is part of the solution) at \(-3\).
• Shade to the left (because \(n\) is less than or equal to \(-3\)).

Answer:

Place a closed circle at \(-3\) on the number - line and shade the line to the left of \(-3\).