Recall

1
Recall
Notice the circle is closed.

• Graphing a linear Equality with one variable..
• x 4

0
2
4
6
-2
2
Graphing a linear Inequality with one variable..
Notice the circle is open

• x lt 4

0
2
4
6
-2
3
Graphing a linear Inequality with one variable..
Notice the circle is open

• x gt -2

0
2
4
6
-2
4
Graphing a linear Inequality with one variable..
Notice the circle is closed

• x lt 4

0
2
4
6
-2
5
Graphing a linear Inequality with one variable..
Notice the circle is closed

• x gt -2

0
2
4
6
-2
6
Will the circle be Closed or Open???

• 1.) x 6
• 2.) x gt 0
• 3.) x lt -3
• 4.) x gt -1
• 5.) x lt 7

• 1.) closed
• 2.) open
• 3.) open
• 4.) closed
• 5.) closed

7
Solving a linear Inequality

• p 5 gt 3
• p 5 - 5 gt 3 - 5
• p gt -2

0
2
4
6
-2
8
Solving a linear Inequality

• 3x lt 9
• 3x/3 lt 9/3
• x lt 3

0
2
4
6
-2
9
Solving a linear Inequality
The sign flips when you multiply or divide by a
negative

• -x lt 4
• -x/-1 lt 4/-1
• x -4

gt
0
2
4
6
-2
10
Solving a 3-step inequality

• 2x - 4 lt 4x - 1
• 2x -4x - 4 lt 4x -4x - 1
• -2x - 4 lt - 1
• -2x -4 4 lt - 14
• -2x lt 3
• -2x/-2 lt 3/-2

x gt -3/2
11
2x - 4 lt 4x - 1

• x gt -3/2

0
2
4
6
-2