Conditionals
- Intro Lesson: a3:59
- Intro Lesson: b5:34
- Lesson: 1a1:23
- Lesson: 1b1:15
- Lesson: 1c0:48
- Lesson: 1d0:39
- Lesson: 2a4:16
- Lesson: 2b1:50
- Lesson: 2c2:17
- Lesson: 3a7:17
- Lesson: 3b4:50
- Lesson: 3c3:33
- Lesson: 3d3:08
- Lesson: 4a3:08
- Lesson: 4b2:41
- Lesson: 4c2:22
- Lesson: 4d2:58
- Lesson: 4e3:35
Conditionals
Lessons
Notes:
A conditional statement is a statement written in the form "if, then".
The phrase after the word "if" is called a hypothesis.
The phrase after the word "then" is called the conclusion. In symbolic form the conditional statement is written as:
A conditional statement is a statement written in the form "if, then".
The phrase after the word "if" is called a hypothesis.
The phrase after the word "then" is called the conclusion. In symbolic form the conditional statement is written as:
p→q
Where p is the hypothesis, q is the conclusion, and → implies it is an "if, then" statement.- IntroductionConditionals Overview:a)What are Conditionals?b)Truth Table for Conditionals
- 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. - 2.Write each statement in "if, then" form:a)The sum of the angles of a 3-sided polygon is 180deg;.b)In a clear night, we can see the moon.c)Getting a bachelor's degree will get you a job.
- 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≤3, then a>3b)If two lines intersect, then it must create a right anglec)If a=1, b=2, c=3, then a+b+c>5d)If a polygon has 3 sides, then it is a triangle. - 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 tiredb)I sleep for 9 hours and I am tiredc)I sleep for 6 hours and I am tiredd)I sleep for 5 hours and I am not tirede)I sleep for 8 hours and I am tired