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# Inequalities

## on Sep 20, 2010

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## InequalitiesPresentation Transcript

• Inequalities
September 20, 2010
• ACT Opener
Solve 2n – 6 = 10 – 14n.
A. 1
B. -1
C. 0
D. -2
E. 2
Solve (2/3)h – 5 = h + 7
F. -36
G. 36
H. -24
J. 24
K. 20
Solve for x: 5x + 3 = 2x -9
Solve for k: 5k + 12 – 2k = 37 + 2k - 11
• Inequality Symbols
< less than
> greater than
open dot
≤ less than or equal to
≥ greater than or equal to
closed dot
• Inequality Symbols
The Open Dot
We only use the “open dot” to graph less than and greater than inequalities.
< or >
The Closed Dot
We only use the “closed dot” to graph less than or equal to and greater than or equal to inequalities
< or >
If x is greater than (greater than or equal to), then shade to the right.
If x is less than (less than or equal to), the shade to the left.
• An Inequality Special Situation
If you multiply or divide by a negative number, reverse the symbol.
Otherwise, we solve inequalities just like equations!
• Examples: Assume the domain is all real numbers
x > 3
a < -1
-5 < b
• Examples: Assume the domain is all real numbers
4 > x
x = -4
x ≠ 3
• Solve and Graph Examples
3x-5 < 2
• Solve and Graph Examples
5x + 4 > 19
• Solve and Graph Examples
2x – 7 < 3
• Examples
4 - 3x > -2
• Examples
6x – 3 < 7 + 4x
• Examples
2(w-8) + 9 > 3(4 – w) - 4
• Examples
8 – 2b > 4 - b
• Examples
4(2 – v) > -(v – 5)
• Exit Slip
• Solving Inequalities with Multiple Operations AND
Solving Inequalities with Variables on Both Sides
Page 26 and 27 b
Assignment