Scaling API-first – The story of a global engineering organization
Ch2.6 Graphing Inequalities
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
