Question

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.
$5.25 - b - 5.25 \geq 6.5 - 5.25$
$-b \geq 1.25$

Step2: Solve for $b$, reverse inequality

Multiply both sides by -1, flip the sign.
$b \leq -1.25$

Step3: Match to number line

$b \leq -1.25$ means all values less than or equal to -1.25, which is left of -1 with a closed dot at -1 (since -1.25 is between -2 and -1, and the only closed dot left of -1 is the first option).

Answer:

A. <the first number line: leftward arrow with closed dot at -1>