Question

represent the solution to the inequality graphically.
13 - 4b ≥ 17

Explanation:

Step1: Solve the inequality

Subtract \(13\) from both sides:
\(13 - 4b-13\geq17 - 13\)
\(-4b\geq4\)
Divide both sides by \(- 4\) and reverse the inequality sign (since dividing by a negative number):
\(b\leq - 1\)

Step2: Analyze the graph

When \(b\leq - 1\), on the number - line, we have a closed circle at \(b = - 1\) (because the inequality is \(\geq\) after manipulation, which is equivalent to \(\leq\) for \(b\), and equality is included) and the arrow points to the left (towards smaller values of \(b\))

Answer:

The third option (the one with a closed circle at \(-1\) and an arrow pointing to the left)