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Chapter 2 Review

Quiz by Makayla Loeffelholz

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22 questions
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  • Q1

    Which symbolic notation represents conjunction?

    ∼p→∼q

    p ⋁ q

    p Λ q

    p→q

    30s
  • Q2

    Which symbolic notation represents disjunction?

    p → q

    p ∨ q

    ∼p → ∼q

    p ∧ q

    30s
  • Q3

    How many statements need to be true for an "or" statement? 

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    Type an Answer
    20s
  • Q4

    How many statements need to be true in order for an "and" statement to be true?

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    Type an Answer
    20s
  • Q5

    Which symbolic notation represents a conditional statement?

    q→p

    p → q

    ∼p → ∼q

    ∼q → ∼p

    30s
  • Q6

    What symbolic notation represents an inverse statement?

    ∼p → ∼q

    ∼q → ∼p

    p → q

    q → p

    30s
  • Q7

    Which symbolic notation represents a converse statement?

    p → q

    q → p

    ∼p → ∼q

    ∼q → ∼p

    30s
  • Q8

    Which symbolic notation represents a contrapositive statement?

    q→ p

    ∼q → ∼p

    p → q

    ∼p → ∼q

    30s
  • Q9

    State which law is used or if invalid. 

    Given: If you live in Orlando, then you live in Florida.

    Given: Morgan does not live in Orlando. 

    Conclusion: Morgan does not live in Florida. 

    Law of Detachment

    Invalid

    Law of Syllogism

    45s
  • Q10

    State which law is used or if invalid. 

    Given: If two angles in a triangle are 40° and 30°, then the third angle measures 110°.

    Given: If the third angle measures 110°, then it is an obtuse triangle. 

    Conclusion: If two angles in a triangle are 40° and 30°, then it is an obtuse triangle. 

    Law of Detachment

    Law of Syllogism

    Invalid

    45s
  • Q11

    State which law is used or if invalid. 

    Given: If you go fishing, then you will need to bring your fishing rod. 

    Given: If you go fishing, then you will need to bring bait. 

    Conclusion: If you bring your fishing rod, then you will need to bring bait.

    Law of Detachment

    Law of Syllogism

    Invalid

    45s
  • Q12

    State which law is used or if invalid. 

    Given: If you are at least 25 years old, then you can rent a car.

    Given: Anna is 28 years old. 

    Conclusion: Anna can rent a car.

    Law of Detachment

    Invalid

    Law of Syllogism

    45s
  • Q13

    Which statement best represents the Venn diagram below? 

    Question Image

    Some Democrats are politicians

    All Democrats are politicians

    Some politicians are Democrats

    All politicians are Democrats

    45s
  • Q14

    Which diagram shows students who take at least 15 credits and do not work a part-time job?

    Answer Image
    Answer Image
    Answer Image
    Answer Image
    45s
  • Q15

    Identify the reason that justifies the statement

    Question Image

    Segment Addition Postulate

    Symmetric Property

    Transitive Property

    Substitution Property

    45s

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