Question

which of the number lines represents the solution to the given inequality?
$b + 20 \geq 41$
(options: a, b, c, d with corresponding number line graphs)

Explanation:

Step1: Isolate variable $b$

Subtract 20 from both sides:
$$b + 20 - 20 \geq 41 - 20$$

Step2: Simplify to find solution

Calculate the resulting inequality:
$$b \geq 21$$

Step3: Match to number line

A closed dot at 21, arrow pointing right (for values greater than or equal to 21) corresponds to option B.

Answer:

B. The number line with a closed dot at 21 and an arrow pointing to the right (covering values 21, 22, 23, ...)