This document discusses conjunctions and disjunctions, which are logical statements connected by "and" or "or". It provides examples of conjunctions and disjunctions and whether they are true or false. A conjunction is true if both statements are true, and false if one or both statements are false. A disjunction is true if at least one statement is true, and only false if both statements are false. An example of describing a failure zone with a disjunction is provided.

1. 5.3 Conjunctions & DisjunctionsObjective: To determine whether a conjunction or disjunction is true or falseFrameworks: 10.P.1, 10.P.7

2. ExamplesTo 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.

3. ExamplesTo graduate from Monty Tech, a student must take Gym or JROTC every year.

4. ConjunctionA 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 trueTRUE6 – 4 = 2 and -3 > 1 true false FALSE2 < 0 and 8 = 5 + 4 false falseFALSE

5. True or False?5 – 2 = 7 and 6 – 4 = -1-7 + 3 < -2 and 6 – 3 > 16 + 5 < 2 and 2 – 3 > 15 – 8 < 0 and 8 – 5 > 0

6. DisjunctionA 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 trueTRUE5 * 8 = 40 or 9 – 10 = 1 true false TRUE6 < -4 and 3 * 5 = 10 false falseFALSE

7. A disjunction is false . . .only if both sentences are false.

8. True or False?5 – 2 = 7 or 6 – 4 = -1-7 + 3 < -2 or 6 – 3 > 153 < 100 or 6 * 8 = 505 – 8 < 0 or 8 – 5 > 0

9. Truth tableshttp://en.wikipedia.org/wiki/Truth_table

10. ExampleIn 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

11. Turn to p. 177Do 1 -8, 1-14