Conjunctions and disjunctions - Logic

Intro Lesson

• a)

  Conjunctions

• b)

  Disjunctions

• a)

  A square is a 4-sided polygon and a rectangle is a 5-sided polygon

• b)

  $10+7\times 2=72$ and $10\times 7+2=72$

• c)

  March is the third month of the year and December is the last month of the year

• a)

  $p$ ˄ $q$

• b)

  $p$ ˄ $r$

• c)

  $p$ ˄ ~$q$

• d)

  ~$r$ ˄ ~$p$

• e)

  $p$ ˄ ~$q$ ˄ $r$

• f)

  ~$p$ ˄ $q$ ˄ ~$r$

• a)

  1 metre is 100 centimetres or 1 metre is 10 centimetres.

• b)

  A right triangle always has an angle that is 90° degrees or the angles of a square are always 90° degrees.

• c)

  Breakfast is a meal or all meals are breakfasts.

• a)

  $p$ ˅ $q$

• b)

  $p$ ˅ $r$

• c)

  $p$ ˅ ~$q$

• d)

  ~$r$ ˅ ~$p$

• e)

  ~$p$ ˅ $q$ ˅ ~$r$

• f)

  $p$ ˅ ~$q$ ˅ ~$r$

• a)

  If $p$ is false, then $p$ ˄ $q$ is _______________.

• b)

  If $p$ is true, then $p$ ˅ $q$ is _______________.

• c)

  If ~$p$ is true, then $p$ ˄ $q$ is _______________.