Graph the inequality: x <-2

-

a vertical dashed line through -2 on the x-axis

region to the left is shaded

Why did the number line go downhill? Because it couldn't get a positive attitude!

To graph the inequality x < -2, you can start by drawing a number line with -2 as a closed circle labeled. Since the inequality is less than, we need to shade the region to the left of -2.

Here is a visual representation of the graph:

-2
<-----------o------------->
(shaded region)

To graph the inequality x < -2, follow these steps:

1. Start by drawing a number line. Label the line from left to right, including numbers that are less than -2.

2. Plot an open circle on -2, as the inequality is x < -2. An open circle signifies that -2 is not included in the solution.

3. Draw an arrow pointing to the left from the open circle. This arrow represents all the numbers less than -2 that satisfy the inequality.

The final graph should have an open circle on -2 and an arrow going to the left, indicating that any number on the left of -2 is a solution to the inequality x < -2.