# In 1-3 assume that B is a Boolean algebra with operation s = and ‘. Give the reasons needed to fill in the blanks in the proofs using only the axioms for a Boolean algebra. Absorption law for-over +: For all a and b in B, ( a + b ) . a = a . Proof: Let a be any element of B. Then ( a + b ) ⋅ a = a ⋅ ( a + b ) ( a ) = a . a + a . b ( b ) = a + a . b by exercise 1 = a .1+ a . b ( c )

### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

#### Solutions

Chapter
Section
Chapter 6.4, Problem 3ES
Textbook Problem

## Expert Solution

### Want to see the full answer?

Check out a sample textbook solution.See solution

### Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Solution

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.