Question

this question has two parts. first, answer part a. then, answer part b.
part a
solve the inequality ( 6vleq - 18 ) and write the solution in set - builder notation.
part b
graph the solution on a number line.

Explanation:

Step1: Solve the inequality

Given \(6v\leq - 18\). Divide both sides by \(6\).
\(v\leq\frac{-18}{6}\)
\(v\leq - 3\)
In set - builder notation, it is \(\{v|v\leq - 3\}\)

Step2: Analyze the graph

For \(v\leq - 3\), the number line has a closed circle at \(-3\) (because the inequality includes equality, \(\leq\)) and the arrow points to the left (towards smaller numbers).

Answer:

Part A: \(\{v|v\leq - 3\}\)
Part B: Option B (the number line with a closed circle at \(-3\) and arrow pointing left)