Question

this question has two parts. first, answer part a. then, answer part b.
part a
solve the inequality ( 3 w geq - 15 ) and write the solution in set - builder notation.
part b
graph the solution on a number line.

Explanation:

Step1: Solve the inequality

Given \(3w\geq - 15\). Divide both sides by \(3\): \(w\geq\frac{-15}{3}\).

Step2: Simplify the right - hand side

\(\frac{-15}{3}=-5\), so \(w\geq - 5\). In set - builder notation, this is \(\{w|w\geq - 5\}\).

Answer:

The solution in set - builder notation is \(\{w|w\geq - 5\}\).

For graphing (Part B):

• Since \(w\geq - 5\), we use a closed circle at \(-5\) (because the inequality includes equality, i.e., \(w = - 5\) is part of the solution) and draw an arrow to the right (because \(w\) can be greater than \(-5\)). So the correct graph is the one with a closed circle at \(-5\) and an arrow pointing to the right (assuming in the given options, if there is an option with a closed circle at \(-5\) and right - pointing arrow, that is the answer for Part B).