Question

graph the inequality on the number line.
$xgeq -3\frac{1}{2}$

Explanation:

Step1: Identify the boundary point

The boundary - point for the inequality $x\geq - 3\frac{1}{2}=-\frac{7}{2}$ is $x =-\frac{7}{2}$.

Step2: Determine the type of circle

Since the inequality is $\geq$, we use a closed circle at $x =-\frac{7}{2}$ on the number line.

Step3: Determine the direction of the line

The inequality $x\geq - 3\frac{1}{2}$ means all values of $x$ that are greater than or equal to $-3\frac{1}{2}$, so we draw a line to the right of $x =-\frac{7}{2}$ on the number line.

Answer:

On the number line, place a closed circle at $-3\frac{1}{2}$ and draw a line to the right of that point.