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Graphing
inequalities
THAT INVOLVE VERTICAL & HORIZONTAL LINES
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
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)
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
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)
Remember ≤ and ≥ mean you use
a solid line when graphing.
But > and < mean you use a dotted
line when graphing.
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

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Graphing inequalities

  • 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