Question

I'm not sure about this one please I need someone to help me.

Answer 1

Graph A

I hope this helps!

Answer 2

The corresponding graph is Graph A.

Explanation:

Part 1: Rewriting the inequality and solving for d

To start, the inequality will need simplified.

`9-4d\geq -3\\\\-4d\geq -12\\\\(-4d)/(-4) \geq (-12)/(-4) \\\\d \leq 3`

Because simplifying the inequality involved dividing by a negative number, the sign must be flipped.

Part 2: Determining the graph for the inequality

Now, refer to the rules for graphing inequalities.

1. If the sign is simply < or >, the graph will start at the number that it begins at and the circle will be open.
2. If the sign is ≤ or ≥, the graph will start at the number that it begins at and the circle will be closed.

Therefore, because
`d \leq 3`, the graph will start at 3 as a closed dot. Then, it will go left because values must be equal to 3 or less than 3.

Therefore, the graph that represents this is Graph A.