Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 2 - The Logic of Compound Statements - Exercise Set 2.2 - Page 50: 32


If this quadratic equation has two distinct real roots, then its discriminant is greater than zero, and if the discriminant of this quadratic equation is greater than zero, then the equation has two real roots.

Work Step by Step

The biconditional of p and q is "p if, and only if, q" and is denoted p $\leftrightarrow$ q. It is logically equivalent to the conjunction (p $\rightarrow$ q) $\land$ (q $\rightarrow$ p). In other words p $\leftrightarrow$ q is the same as saying both "if p, then q" and "if q, then p."
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.