Question

match the inequality with its graph. 4p + 4 ≥ 12

Explanation:

Step1: Solve the inequality for $p$.

Subtract 4 from both sides: $4p+4 - 4\geq12 - 4$, which simplifies to $4p\geq8$.

Step2: Isolate $p$.

Divide both sides by 4: $\frac{4p}{4}\geq\frac{8}{4}$, so $p\geq2$.
On a number - line, this is represented by a closed circle at 2 (because $p$ can equal 2) and an arrow pointing to the right (since $p$ is greater than or equal to 2).

Answer:

The first graph (where there is a closed circle at 2 and the arrow points to the right on the number - line starting from 2).