JEE Main 2024 Question Paper Solution Discussion Live JEE Main 2024 Question Paper Solution Discussion Live

Visualizing De Morgan’s First Law

De Morgan’s Laws form the heart of sets and find a wide variety of applications in questions from this chapter. However, the language is a little cryptic, and students usually face difficulty in visualising and understanding them.

To help you visualise them, here, we have given De Morgan’s First Law for you.

De Morgan’s First Theorem

The First De Morgan’s Law states that

\(\begin{array}{l}{(A\cup B)}’={A}’\cap {B}'\end{array} \)

Now, we hand over the responsibility of explaining the law to our maths expert. Enjoy the video, and don’t forget to share your opinions or doubts in the comment section below.

De Morgan’s First Law

Frequently Asked Questions

Q1

State De Morgan’s First Law.

De Morgan’s First Law states that the complement of the union of two sets is the intersection of their complements. (A⋃B)’ = A’⋂B’.

Q2

What is De Morgan’s Second Law?

De Morgan’s Second Law states that the complement of the intersection of two sets is the same as the union of their complements.
(A⋂B)’ = A’⋃B’

Q3

Mention two applications of De Morgan’s Law.

De Morgan’s Law is used in computer programming. It is also used for developing logic gates in electronic engineering.

Q4

Give the formula for De Morgan’s Laws.

(A⋃B)’ = A’⋂B’
(A⋂B)’ = A’⋃B’

Test Your Knowledge On Visualizing De Morgans First Law!

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