What does the solution to the inequality x≥−6 look like graphed on a number line?

Answer 1

To graph the inequality \( x \geq -6 \) on a number line, you would take the following steps:

1. Draw a horizontal line that represents the number line.
2. Locate the point -6 on the number line.
3. Use a closed dot (or closed circle) at -6 to indicate that -6 is included in the solution (because the inequality is greater than or equal to).
4. Shade the region to the right of -6, extending indefinitely to represent all the values of \( x \) that are greater than -6.

This graph visually communicates that any value greater than or equal to -6 is a solution to the inequality.