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 symbols

The inequality $2.5\leq x\leq4.5$ has inclusive - of - the - endpoint symbols ($\leq$).

Step2: Locate the endpoints on the number line

Locate $2.5$ and $4.5$ on the number line.

Step3: Determine the type of points

Since the inequality is inclusive, use closed (filled - in) circles at $2.5$ and $4.5$.

Step4: Draw the line segment

Draw a line segment connecting the two closed circles to represent all the values of $x$ that satisfy the inequality.

Answer:

On the number line, place a closed (filled - in) circle at $2.5$, place a closed (filled - in) circle at $4.5$, and draw a line segment connecting these two points.