U1A L1 Numbered Sets Skill Builder
Completion requirements
Unit 1A
Precalculus
Lesson 1: Domain, Range, and Interval Notation
Skill Builder
Numbered Sets
Number sets can be described using words, algebraic notation, and number lines.
On a number line, a closed circle indicates an included value and an open circle indicates an excluded value. A thicker or darker line is drawn over the appropriate section(s) of the number line to show which values belong to the number set being described. An arrow at either end of the line indicates the included values extend indefinitely in that direction.
On a number line, a closed circle indicates an included value and an open circle indicates an excluded value. A thicker or darker line is drawn over the appropriate section(s) of the number line to show which values belong to the number set being described. An arrow at either end of the line indicates the included values extend indefinitely in that direction.
Inequality symbols:
«math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo mathcolor=¨#FFFFFF¨»§#62;«/mo»«/mstyle»«/math»greater than
«math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo mathcolor=¨#FFFFFF¨»§#60;«/mo»«/mstyle»«/math»less than
«math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo mathcolor=¨#FFFFFF¨»§#8804;«/mo»«/mstyle»«/math»greater than or equal to
«math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo mathcolor=¨#FFFFFF¨»§#8805;«/mo»«/mstyle»«/math»less than or equal to
«math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo mathcolor=¨#FFFFFF¨»§#62;«/mo»«/mstyle»«/math»greater than
«math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo mathcolor=¨#FFFFFF¨»§#60;«/mo»«/mstyle»«/math»less than
«math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo mathcolor=¨#FFFFFF¨»§#8804;«/mo»«/mstyle»«/math»greater than or equal to
«math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo mathcolor=¨#FFFFFF¨»§#8805;«/mo»«/mstyle»«/math»less than or equal to
| Words | Number Line
|
Algebraic Notation
|
|---|---|---|
| «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»x«/mi»«/mstyle»«/math» equals «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mn»1«/mn»«/mstyle»«/math». |
|
«math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»=«/mo»«mn»1«/mn»«/mrow»«/mstyle»«/math» |
| The «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»-values are greater than «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle
mathsize=¨14px¨»«mn»2«/mn»«/mstyle»«/math».
|
|
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§#62;«/mo»«mn»2«/mn»«/math» |
| The «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»x«/mi»«/mstyle»«/math»-values are less than «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo»-«/mo»«mn»1«/mn»«/mstyle»«/math». |
|
«math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»§#60;«/mo»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mstyle»«/math» |
| The «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»-values are greater than or equal to «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo»-«/mo»«mn»2«/mn»«/mstyle»«/math». |
|
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§#8805;«/mo»«mo»-«/mo»«mn»2«/mn»«/math» |
| The «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»x«/mi»«/mstyle»«/math»-values are less than or equal to «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle
mathsize=¨14px¨»«mn»0«/mn»«/mstyle»«/math».
|
|
«math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»§#8804;«/mo»«mn»0«/mn»«/mrow»«/mstyle»«/math» |
| The «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»-values are greater than or equal to «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle
mathsize=¨14px¨»«mo»-«/mo»«mn»2«/mn»«/mstyle»«/math» and less than or equal to «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mn»3«/mn»«/mstyle»«/math».
|
|
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»2«/mn»«mo»§#8804;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mn»3«/mn»«/math» |