Purchase Solution

# Basic Proof by Contradiction of the Zero Product Property

Not what you're looking for?

Prove the Zero Producty Property in real numbers that:
If ab=0 then a=0 or b=0

(Question is repeated in attachment)

##### Solution Summary

This solution shows a proof that if ab=0, then a=0 or b=0. Gives an introduction to proving things by contradiction.

##### Solution Preview

I'm going to call our assumption (ab=0) P, and the thing we want to prove (a=0 or b=0) Q. So we want to show that P => Q (P implies Q) and we can do this by contradiction: assume P and ~Q (the negation of Q) and show that there is a contradiction with this assumption.

I know what P is (ab=0) but what is ~Q? It is ~(a=0 or b=0). Now ...

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.