Conjunctions and disjunctions

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Intros
Lessons
  1. Conjunctions and Disjunctions Overview:
  2. Conjunctions
  3. Disjunctions
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Examples
Lessons
  1. Conjunctions

    Determine the truth value of the following conjunctions:

    1. A square is a 4-sided polygon and a rectangle is a 5-sided polygon
    2. 10+7×2=72 10+7\times 2=72 and 10×7+2=7210\times 7+2=72
    3. March is the third month of the year and December is the last month of the year
  2. The symbols represent the following statements:

    pp: A year has 52 weeks
    qq: December is a summer month
    rr: A kilogram is 1000 grams

    Find the truth value of the following:
    1. pp ˄ qq
    2. pp ˄ rr
    3. pp ˄ ~qq
    4. ~rr ˄ ~pp
    5. pp ˄ ~qq ˄ rr
    6. ~pp ˄ qq ˄ ~rr
  3. Disjunctions

    Determine the truth value of the following disjunctions:

    1. 1 metre is 100 centimetres or 1 metre is 10 centimetres.
    2. A right triangle always has an angle that is 90° degrees or the angles of a square are always 90° degrees.
    3. Breakfast is a meal or all meals are breakfasts.
  4. The symbols represent the following statements:

    pp: A week has 5 days
    qq: A day has 24 hours
    rr: An hour has 60 seconds

    Find the truth value of the following:
    1. pp ˅ qq
    2. pp ˅ rr
    3. pp ˅ ~qq
    4. ~rr ˅ ~pp
    5. ~pp ˅ qq ˅ ~rr
    6. pp ˅ ~qq ˅ ~rr
  5. Advanced Questions on Conjunctions and Disjunctions

    Let pp and qq be statement. Fill in the blanks:

    1. If pp is false, then pp ˄ qq is _______________.
    2. If pp is true, then pp ˅ qq is _______________.
    3. If ~pp is true, then pp ˄ qq is _______________.