Question

which number line represents the graph of the solution to the inequality 27 + 4.5x ≥ 81?

Explanation:

Step1: Isolate the term with x

Subtract 27 from both sides of the inequality $27 + 4.5x\geq81$.
$27+4.5x - 27\geq81 - 27$
$4.5x\geq54$

Step2: Solve for x

Divide both sides of the inequality by 4.5.
$\frac{4.5x}{4.5}\geq\frac{54}{4.5}$
$x\geq12$
On a number - line, this is represented by a closed circle at 12 (because the inequality is $\geq$) and an arrow pointing to the right.

Answer:

The number - line with a closed circle at 12 and an arrow pointing to the right.