Algebra 5 Point 3

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Algebra 5 Point 3

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

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