Inequalities
Upcoming SlideShare
Loading in...5
×
 

Inequalities

on

  • 512 views

 

Statistics

Views

Total Views
512
Slideshare-icon Views on SlideShare
512
Embed Views
0

Actions

Likes
0
Downloads
24
Comments
0

0 Embeds 0

No embeds

Accessibility

Categories

Upload Details

Uploaded via as Microsoft PowerPoint

Usage Rights

© All Rights Reserved

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Processing…
Post Comment
Edit your comment

    Inequalities Inequalities Presentation 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 >
    • Inequality Shading
      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