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Linear Inequalities




                      1
A linear inequality has a boundary line that can be 
expressed in the form

y = mx + b


The solution to the inequality is...
Example

Graph 2x + y < 4




                   3
1. Graph inequality like a linear equation. 

2. Line becomes boundary line.
   ­ if > (greater than) boundary line is das...
3. Test a point on each side of the boundary line to determine
     the solution area. 



    4. Shade in the region that...
Example

Graph y ­ 3 ≥ 0




                  6
Graph the solution of 

4x ­ y ≤ 6




                         7
System of linear inequalities: 

Two types of systems.

   1. Intersection of the inequalities   ( and )

                ...
and




      9
or




     10
Exercise 27


     Questions 1 ­ 11




                        11
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Nov. 13 Linear Inequalities

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Transcript of "Nov. 13 Linear Inequalities"

  1. 1. Linear Inequalities 1
  2. 2. A linear inequality has a boundary line that can be  expressed in the form y = mx + b The solution to the inequality is the set of all ordered pairs  that makes the inequality true. 2
  3. 3. Example Graph 2x + y < 4 3
  4. 4. 1. Graph inequality like a linear equation.  2. Line becomes boundary line. ­ if > (greater than) boundary line is dashed  because values are not  ­ if < (less than)  part of solution ­ if          (greater than or equal to) boundary line is  solid because values  ­ if          (less than or equal to) are part of solution 4
  5. 5. 3. Test a point on each side of the boundary line to determine      the solution area.  4. Shade in the region that represents the solution. 5
  6. 6. Example Graph y ­ 3 ≥ 0 6
  7. 7. Graph the solution of  4x ­ y ≤ 6 7
  8. 8. System of linear inequalities:  Two types of systems. 1. Intersection of the inequalities   ( and ) and The solution to the system is where the solutions for  each individual inequality overlap 2. Union of the inequalities     ( or ) or The solution to the system could be anywhere  within either solution set of each inequality.... combine their solution sets 8
  9. 9. and 9
  10. 10. or 10
  11. 11. Exercise 27 Questions 1 ­ 11 11

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