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graph this compound inequality: 2.5 ≤ x ≤ 4.5 -5 -4 -3 -2 -1 0 1 2 3 4 …

Question

graph this compound inequality: 2.5 ≤ x ≤ 4.5
-5 -4 -3 -2 -1 0 1 2 3 4 5
drag a point to the number line.

Explanation:

Step1: Identify the inequality type

The compound inequality $2.5\leq x\leq4.5$ is a closed - interval inequality.

Step2: Locate the endpoints on the number line

Locate $x = 2.5$ and $x = 4.5$ on the number line. Since the inequality includes the endpoints (due to $\leq$), we use closed circles at $2.5$ and $4.5$.

Step3: Shade the interval

Shade the region on the number line between $2.5$ and $4.5$ including the endpoints.

Answer:

Drag a closed - circle point to $2.5$, drag another closed - circle point to $4.5$, and shade the region between them on the number line.