Conditionals

Lessons

• Introduction
  Conditionals Overview:
  a)

  What are Conditionals?
  
  
  b)

  Truth Table for Conditionals
  
  

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• 1.
  Hypothesis and Conclusions

  Identify the Hypothesis and Conclusion:

  a)

  If Patsy has a messy hair today, then she will not show up to work.
  
  
  b)

  If two lines are parallel, then they will not intersect.
  
  
  c)

  If a polygon has 3 sides, then it is a triangle.
  
  
  d)

  If the dog is barking, then someone is nearby.
  
  

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• 2.
  Write each statement in "if, then" form:
  a)

  The sum of the angles of a 3-sided polygon is 180&#deg;.
  
  
  b)

  In a clear night, we can see the moon.
  
  
  c)

  Getting a bachelor's degree will get you a job.
  
  

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• 3.
  Truth value of Conditionals

  Determine the truth value of the following conditional statements. If it is false, then find a counterexample:

  a)

  If $a \leq 3$, then $a > 3$
  
  
  b)

  If two lines intersect, then it must create a right angle
  
  
  c)

  If $a=1$, $b=2$, $c=3$, then $a+b+c>5$
  
  
  d)

  If a polygon has 3 sides, then it is a triangle.
  
  

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• 4.
  Determine the truth value of the statement below for each set of conditions:

  If I sleep for more than 8 hours, then you will be not tired

  a)

  I sleep for 9 hours and I am not tired
  
  
  b)

  I sleep for 9 hours and I am tired
  
  
  c)

  I sleep for 6 hours and I am tired
  
  
  d)

  I sleep for 5 hours and I am not tired
  
  
  e)

  I sleep for 8 hours and I am tired
  
  

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