Question

What is the solution to the inequality 5.25 – b ≥ 6.5?

A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.
A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.
A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.
A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.

Answer 1

Solve: 5.25 − b ≥ 6.5
Subtract 5.25: −b ≥ 1.25
Multiply by −1 (flip inequality): b ≤ −1.25

So the solution is b ≤ −1.25 (solid dot at −1.25, shading left). That matches the first option: solid circle between −1 and −2 with shading to −5.