Prove the idempotent laws in Table 1 by showing thata) A ?

Chapter 1, Problem 8E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

In Exercises 5–10 assume that \(A\) is a subset of some underlying universal set \(U\).

Prove the idempotent laws in Table 1 by showing that

a) \(A \cup A=A\).

b) \(A \cap A=A\).

Equation Transcription:

Text Transcription:

A

U

A cup A=A

A cap A=A

Questions & Answers

QUESTION:

In Exercises 5–10 assume that \(A\) is a subset of some underlying universal set \(U\).

Prove the idempotent laws in Table 1 by showing that

a) \(A \cup A=A\).

b) \(A \cap A=A\).

Equation Transcription:

Text Transcription:

A

U

A cup A=A

A cap A=A

ANSWER:

Solution:

Step1

Given that

The idempotent laws in Table.

Step2

To find

 We have to prove the idempotent laws .

Step3

 Idempotent law states that connection a add with itself either by logical addition or logical multiplication can lead to a logical add or product that's the equivalent of the add.

Example , B+B=B, BB=B.

a) A ∪ A = A

Here , Right hand side=A

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back