Solution Found!
Prove the idempotent laws in Table 1 by showing thata) A ?
Chapter 1, Problem 8E(choose chapter or problem)
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