In this lesson our instructor talks about conditional statements. She talks about if then statement and other forms such as without then, using when, and hypothesis. She discusses identifying the hypothesis and conclusion. She then teaches writing in if then form. She also talks about converse statements , converses and counterexamples, inverse statement, and contrapositive statement. Four complete extra example videos round up this lesson.
If-then statements are called conditional statements or conditionals.
The conditional statement: If
p, then q.
Given statements can be written as condition statements in 3 other forms: converse statements, inverse statements, and contrapositive statements
The converse of a given conditional interchanges the hypothesis and the conclusion. This statement can be true or false. If q, then p.
The denial of a statement is called a negation. Inverse statements are formed by negating both the hypothesis and conclusion.
A contrapositive statement is formed by exchanging and negating the hypothesis and conclusion of the given conditional.
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.