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2.8 inequalities                                                                            September 19, 2011




      Graph each set of numbers on a number line.  
      1. ­3, 7, ­9
     ­10   ­9   ­8


      2. ­2, ­10, ­8
                     ­7   ­6   ­5   ­4   ­3   ­2   ­1   0   1   2

                                                                    Be
                                                                    3   4   5   6   7   8    9   10




      3. 3, ­6, 10
                                                                                llw
                                                                                        or
      Solve
      4. 4(y+2) = 13                                                                             k
      5. 6z +1 = 19
                   Objective ­ graping and writing inequalities




HW pg. 104 #2­32 even                                                                                            1
2.8 inequalities                                                                            September 19, 2011




      Inequality ­ >, <, ≤, ≥
                Graph the following on a number line.


           x > 3
     ­10   ­9   ­8   ­7   ­6   ­5   ­4   ­3   ­2   ­1   0   1   2   3   4   5   6   7   8    9   10




           x < ­4




HW pg. 104 #2­32 even                                                                                            2
2.8 inequalities                                                                            September 19, 2011




      Graph the solutions of the inequality.

      z < ­2                                            4 > t

     ­10   ­9   ­8   ­7   ­6   ­5   ­4   ­3   ­2   ­1   0   1   2   3   4   5   6   7   8    9   10




      a ≥ ­5                                            2 ≥ c




HW pg. 104 #2­32 even                                                                                            3
2.8 inequalities                                             September 19, 2011




       Write the inequality that represents the situation.



                   ­3   ­2   ­1   0   1     2      3     4




HW pg. 104 #2­32 even                                                             4
2.8 inequalities                                                                   September 19, 2011




        Write the inequality shown in each graph.




              ­3   ­2    ­1    0     1     2     3   ­3   ­2    ­1    0     1     2     3




HW pg. 104 #2­32 even                                                                                   5
2.8 inequalities                                                        September 19, 2011




     Food can be labeled low sodium if it meets the requirement established by the
     federal government.  Use the table to write an inequality for this requirement.  

       Label                     Definition
       Sodium­free food          Less than 5 mg per serving
       Very low sodium food      At most 35 mg per serving
       Low­sodium food           At most 140 mg per serving




     A certain food is labeled sodium free.  Write an inequality for n, the number of 
     milligrams of sodium in a serving of this sodium­free food.  




HW pg. 104 #2­32 even                                                                        6
2.8 inequalities                      September 19, 2011




               HW: pg 104 # 2 ­ 32 even 




HW pg. 104 #2­32 even                                      7

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2.8 notes

  • 1. 2.8 inequalities September 19, 2011 Graph each set of numbers on a number line.   1. ­3, 7, ­9 ­10 ­9 ­8 2. ­2, ­10, ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 Be 3 4 5 6 7 8 9 10 3. 3, ­6, 10 llw or Solve 4. 4(y+2) = 13 k 5. 6z +1 = 19 Objective ­ graping and writing inequalities HW pg. 104 #2­32 even 1
  • 2. 2.8 inequalities September 19, 2011 Inequality ­ >, <, ≤, ≥ Graph the following on a number line. x > 3 ­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10 x < ­4 HW pg. 104 #2­32 even 2
  • 3. 2.8 inequalities September 19, 2011 Graph the solutions of the inequality. z < ­2 4 > t ­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10 a ≥ ­5 2 ≥ c HW pg. 104 #2­32 even 3
  • 4. 2.8 inequalities September 19, 2011 Write the inequality that represents the situation. ­3 ­2 ­1 0 1 2 3 4 HW pg. 104 #2­32 even 4
  • 5. 2.8 inequalities September 19, 2011 Write the inequality shown in each graph. ­3   ­2    ­1    0     1     2     3 ­3   ­2    ­1    0     1     2     3 HW pg. 104 #2­32 even 5
  • 6. 2.8 inequalities September 19, 2011 Food can be labeled low sodium if it meets the requirement established by the federal government.  Use the table to write an inequality for this requirement.   Label Definition Sodium­free food Less than 5 mg per serving Very low sodium food    At most 35 mg per serving Low­sodium food At most 140 mg per serving A certain food is labeled sodium free.  Write an inequality for n, the number of  milligrams of sodium in a serving of this sodium­free food.   HW pg. 104 #2­32 even 6
  • 7. 2.8 inequalities September 19, 2011 HW: pg 104 # 2 ­ 32 even  HW pg. 104 #2­32 even 7