Question

question 2 (multiple choice worth 2 points) (two - step linear inequalities mc) which graph represents the solution to the inequality 2(b + 2) ≥ 24?

Explanation:

Step1: Expand the left - hand side

$2(b + 2)=2b+4$, so the inequality becomes $2b + 4\geq24$.

Step2: Subtract 4 from both sides

$2b+4 - 4\geq24 - 4$, which simplifies to $2b\geq20$.

Step3: Divide both sides by 2

$\frac{2b}{2}\geq\frac{20}{2}$, resulting in $b\geq10$.
The graph of $b\geq10$ has a closed - circle at 10 (because the inequality is $\geq$) and the line extends to the right.

Answer:

The third graph (the one with a closed - circle at 10 and the line extending to the right)