A conditional statement or simply conditional is an if-then statement such as this one: If you are not completely satisfied with your purchase, then you can return the product and get a full refund.
The symbol that we use to represent an if-then statement is p → q
We read p → q as "if p then q" or "p implies q"
A conditional statement has an hypothesis and a conclusion. The hypothesis is the part p following if and the conclusion is the part q following then.
Example #1 :
Identify p and q for this conditional: If you are not
completely satisfied with your purchase, then you can return the product
and get a full refund.
Hypothesis or part p : You are not completely satisfied with your purchase.
Conclusion or part q : You can return the product and get a full refund.
Example #2 :
If a quadrilateral has four right angles, then it is a rectangle.
Hypothesis : a quadrilateral has four right angles.
Conclusion : it is a rectangle.
The set of things that satisfy the hypothesis lies inside the set of things that satisfy the conclusion. In the Venn Diagram below, notice how p or the hypothesis lies completely inside the conclusion or q.
The diagram below illustrates this conditional : If you live in Boston, then you live in Massachusetts. And of course, other conditions can go inside the big circle
Here is another example illustrating how a hypothesis is contained within a conclusion. This is the Venn Diagram for example #2 mentioned before.
Mar 13, 19 11:50 AM
Learn how to derive the equation of an ellipse when the center of the ellipse is at the origin.
Basic math formulas
Algebra word problems
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Recommended
Scientific Notation Quiz
Graphing Slope Quiz
Adding and Subtracting Matrices Quiz
Factoring Trinomials Quiz
Solving Absolute Value Equations Quiz
Order of Operations Quiz
Types of angles quiz
Mar 13, 19 11:50 AM
Learn how to derive the equation of an ellipse when the center of the ellipse is at the origin.