This document discusses how to graph inequalities involving vertical and horizontal lines. It explains that an equation like x=2 graphs as a vertical line where all x values are equal to 2. Inequalities like x≥2 graph the line first and then shade the area indicated by the inequality. Similarly, an equation like y=0 graphs as a horizontal line, and inequalities like y≤0 graph the line and shade the appropriate area. The document also notes that ≤ and ≥ use a solid line when graphing, while > and < use a dotted line. It provides an example of writing a system of inequalities for a solution involving different bounds for x and y values.

1. Graphing
inequalities
THAT INVOLVE VERTICAL & HORIZONTAL LINES

2. If you have x = number, you are graphing
a vertical line where all the x values on
the line are equal to that number.
This is the
graph of x=2

3. Then if you have x ≥ number or
x ≤ number, you are graphing the line first
and then shading where the inequality
states.
This is the
graph of x ≥ 2
(Shaded the x’s
greater than 2)

4. If you have y = number, you are graphing
a horizontal line where all the y values on
the line are equal to that number.
This is the
graph of y=0

5. Then if you have y ≥ number or
y ≤ number, you are graphing the line first
and then shading where the inequality
states.
This is the
graph of y ≤ 0
(Shaded the y’s
less than 0)

6. Remember ≤ and ≥ mean you use
a solid line when graphing.
But > and < mean you use a dotted
line when graphing.

7. If your solution is
the x values below -2 and
the y values above 3,
you would write the following
system of inequalities:
x < -2 graphed:
y > 3