Question

graph $x \geq -5$.
how do i graph the inequality?
plotting an inequality example
plotting inequalities on a number line

Explanation:

Step1: Analyze the inequality

The inequality is \( x \geq -5 \). For graphing on a number line, we first identify the critical point, which is \( -5 \).

Step2: Determine the type of dot

Since the inequality is "greater than or equal to" (\( \geq \)), we use a closed (filled - in) dot at \( -5 \) to indicate that \( -5 \) is included in the solution set.

Step3: Determine the direction of the line

We then draw a line to the right of \( -5 \) because we want all values of \( x \) that are greater than or equal to \( -5 \), and values increase as we move to the right on the number line. The given graph already has a closed dot at \( -5 \) and a line extending to the right, which is correct for \( x \geq -5 \). So we don't need to switch the direction or make the circle open.

Answer:

The graph as shown (with a closed dot at -5 and a line to the right) is correct for \( x\geq - 5 \). We do not need to use the "Switch direction" or "Make circle open" buttons.