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Algebra 5 Point 4
 

Algebra 5 Point 4

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    Algebra 5 Point 4 Algebra 5 Point 4 Presentation Transcript

    • 5.4 Combining Inequalities
      Objective:
      • To graph the solution sets of conjunctions & disjunctions of inequalities
      Frameworks: 10.P.1, 10.P.7
    • How would you graph a disjunction?
      x < 2 or x = 2
      The graph should contain all the solutions of the two sentences
    • Graph 11 – 3x ≤ 26
    • Graph x ≤ -2 and x > 3
    • Graph x ≤ -2 or x > 3
    • Graph x > 1 or x < 4
    • Graph x > 1 and x < 4
    • Graph x -1 ≥ -3 and 4 < 2x - 2
    • Graph x -1 ≥ -3 or 4 < 2x - 2
    • x > -1 and x < 4
      can also be written as:
      -1 < x < 4
      This can be read as:
      -1 is less than x and x is less than 4
      x is greater than -1 and x is less than 4
      x is between -1 and 4
    • Graph -3 < 2x + 5 ≤ 9
    • Example
      This year, Jim’s weight fluctuated within a 7-lb. range. At times, he weighed as little as 125 lb. At other times, he weighed almost 132 lb. Write a conjunction that describes the range of values for Jim’s weight.
      125 ≤ x and x < 132
      125 ≤ x < 132
    • Turn to page 182
      Do 1-20, 35-37