what is the solution to the inequality 5.25 - b ≥ 6.5?

Explanation:

Step1: Isolate the term with $b$.

Subtract $5.25$ from both sides of the inequality: $$5.25 - b \ge 6.5$$ $$5.25 - b - 5.25 \ge 6.5 - 5.25$$ $$-b \ge 1.25$$

Step2: Solve for $b$.

Multiply both sides by $-1$ and reverse the inequality sign: $$(-1)(-b) \le (-1)(1.25)$$ $$b \le -1.25$$

Step3: Represent the solution on a number line.

The inequality $b \le -1.25$ means that $b$ is less than or equal to $-1.25$. This is represented by a closed circle at $-1.25$ (because of the "equal to" part) and an arrow pointing to the left (because of the "less than" part). The point $-1.25$ is located between $-1$ and $-2$, closer to $-1$.

Answer:

The first option, which shows a closed circle at $-1.25$ and the arrow pointing to the left. <img src="https://i.imgur.com/8aBqj0k.png" alt="Solution Graph">