Conditionals

Identify the Hypothesis and Conclusion:

1. If Patsy has a messy hair today, then she will not show up to work.
2. If two lines are parallel, then they will not intersect.
3. If a polygon has 3 sides, then it is a triangle.
4. If the dog is barking, then someone is nearby.

1. The sum of the angles of a 3-sided polygon is 180&#deg;.
2. In a clear night, we can see the moon.
3. Getting a bachelor's degree will get you a job.

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

1. If $a \leq 3$, then $a > 3$
2. If two lines intersect, then it must create a right angle
3. If $a=1$, $b=2$, $c=3$, then $a+b+c>5$
4. If a polygon has 3 sides, then it is a triangle.

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

1. I sleep for 9 hours and I am not tired
2. I sleep for 9 hours and I am tired
3. I sleep for 6 hours and I am tired
4. I sleep for 5 hours and I am not tired
5. I sleep for 8 hours and I am tired