1. Ch2.6_GraphingInequalities.notebook September 15, 2011
Graph y = ­2x + 4
y
6
5
4
3
2
1
x
­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5
­1
­2
­3
­4
­5
­6
Chapter 2.6
Graphing Linear Inequalities
1

2. Ch2.6_GraphingInequalities.notebook September 15, 2011
Graph y = ­2x + 4
y
6
5
4
3
2
1
x
­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5
­1
­2
­3
­4
­5
­6
When graphing inequalities,
we have to shade above or below
the line
2

3. Ch2.6_GraphingInequalities.notebook September 15, 2011
Graph y ≤ ­2x + 4
y
6
5
4
3
2
1
x
­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5
­1
­2
­3
­4
­5
­6
Graph y < ­2x + 4
y
6
5
4
3
2
1
x
­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5
­1
­2
­3
­4
­5
­6
3

4. Ch2.6_GraphingInequalities.notebook September 15, 2011
General Rules
y = ... Solid line, no shading
y < ... Dotted line, shaded BELOW
y ≤ ... Solid Line, shaded BELOW
y > ... Dotted Line, shaded ABOVE
y ≥ ... Solid line, shaded ABOVE
Steps for Graphing
• Begin by plotting points
• Determine if a solid or dotted line is used
• Graph the line
• Shade above or below the line (depending on inequality)
4

5. Ch2.6_GraphingInequalities.notebook September 15, 2011
Graph y ≥ 3x
y
6
5 Solid or Dotted line?
4
3
2
Shade above
1
x or below?
­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5
­1
­2
­3
­4
­5
­6
Graph y = x ­ 2
y
6
5 Solid or Dotted line?
4
3
2
Shade above
1
x or below?
­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5
­1
­2
­3
­4
­5
­6
5

6. Ch2.6_GraphingInequalities.notebook September 15, 2011
Graph y < 4 ­ 2x
y
6
5 Solid or Dotted line?
4
3
2
Shade above
1
x or below?
­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5
­1
­2
­3
­4
­5
­6
Graph y + 3 ≤ ­2(x ­ 2)
y
6
5 Solid or Dotted line?
4
3
2
Shade above
1
x or below?
­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5
­1
­2
­3
­4
­5
­6
6

7. Ch2.6_GraphingInequalities.notebook September 15, 2011
Worksheet
Side A only
7