Algebra 5 Point 3
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Algebra 5 Point 3

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    Algebra 5 Point 3 Algebra 5 Point 3 Presentation Transcript

    • 5.3 Conjunctions & Disjunctions
      Objective:
      • To determine whether a conjunction or disjunction is true or false
      Frameworks: 10.P.1, 10.P.7
    • Examples
      To go on coop, a junior must maintain a minimum grade of 75 in both shop and related,
      and maintain an overall academic average of 75, with no failures.
      and not have been suspended from school during the previous 6 weeks.
    • Examples
      To graduate from Monty Tech, a student must take Gym or JROTC every year.
    • Conjunction
      A conjunction is composed of 2 sentences connected by the word and.
      Whether a conjunction is true or false depends on the 2 sentences:
      5 < 8 and 2 + 9 = 11
      true trueTRUE
      6 – 4 = 2 and -3 > 1
      true false FALSE
      2 < 0 and 8 = 5 + 4
      false falseFALSE
    • True or False?
      5 – 2 = 7 and 6 – 4 = -1
      -7 + 3 < -2 and 6 – 3 > 1
      6 + 5 < 2 and 2 – 3 > 1
      5 – 8 < 0 and 8 – 5 > 0
    • Disjunction
      A disjunction is composed of 2 sentences connected by the word or.
      Whether a disjunction is true or false depends on the 2 sentences:
      5 > -2 or 8 + 2 = 10
      true trueTRUE
      5 * 8 = 40 or 9 – 10 = 1
      true false TRUE
      6 < -4 and 3 * 5 = 10
      false falseFALSE
    • A disjunction is false . . .
      only if both sentences are false.
    • True or False?
      5 – 2 = 7 or 6 – 4 = -1
      -7 + 3 < -2 or 6 – 3 > 1
      53 < 100 or 6 * 8 = 50
      5 – 8 < 0 or 8 – 5 > 0
    • Truth tables
      http://en.wikipedia.org/wiki/Truth_table
    • Example
      In a laboratory stress test, a tube of material is found to fail if it is stretched to a length of more than 21.3 cm or compressed to a length of less than 19.7 cm. Use a conjunction or disjunction to describe the complete failure zone for the material.
      x < 19.7 or x > 21.3
    • Turn to p. 177
      Do 1 -8, 1-14