Download Graph Inequalities on a Number Line

Graph Inequalities on a
Number Line
SWBAT use a replacement set to identify
the solution set of an inequality; graph the
solution set of an inequality on a number
line; write an inequality that describes a
given graph
Definitions
 Replacement set
 A set of numbers to be used as possible
values for the variable in an equation or
inequality
 Solution set
 Contains all the values for the variable
that make the equation or inequality true
 Empty set
 A solution set that contains none of the
numbers from the replacement set
Examples
Inequality Replacement set
Solution set
y < 25
{24, 25, 26, …}
{24}
x>8
{0, 1, 2, 3, …}
{9, 10, 11, 12, …}
x≤8
{4, 5, 6, 7, …}
{4, 5, 6, 7, 8}
t ≥ 10
{10, 11, 12, 13, …}
t ≤ 10
{-3, -2, -1, 0, 1,
2, …}
{…, 8, 9, 10}
a<0
{0, 1, 2, 3, …}
{…8, 9, 10,}
{}
Definitions
 Equivalent inequalities
 Inequalities that have the same solution
set
 Graphing inequalities
the number is NOT included in
solution set, use with < or >
the number IS included in the
solution set, use with ≤ or ≥
Examples




x>4
9≤x
x≤0
2> x
Try the problems on your sheet
-5
0
5
10
15
Anwers




S={10, 12}
S={14, 15, 16, 17}
S={-1, 0, 1, 2, 3}
S={10, 20, 30, 40, …}
 x ≥ -1
x<4
 x > -9