Question

which graph represents the solution set of this inequality? 9 - 4d ≥ - 3 choose 1 answer:

Explanation:

Step1: Solve the inequality

First, solve \(9 - 4d\geq - 3\). Subtract 9 from both sides: \(9-4d - 9\geq - 3-9\), which simplifies to \(-4d\geq - 12\). Then divide both sides by - 4. When dividing an inequality by a negative number, the direction of the inequality sign changes. So \(\frac{-4d}{-4}\leq\frac{-12}{-4}\), and we get \(d\leq3\).

Step2: Analyze the graph representation

On a number - line graph for \(d\leq3\), there should be a closed circle at 3 (because the inequality includes equality, \(\geq\) or \(\leq\) means closed - circle) and the line should extend to the left (towards smaller values of \(d\)).

Answer:

The graph with a closed circle at 3 and an arrow extending to the left represents the solution set of the inequality. Without specific labels for each graph in your image, you should look for the graph that has a filled - in circle at 3 and an arrow pointing left.