MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Definition of Sets

Without using...

Question

Without using truth table, show that $p \land (q \lor \sim p) \equiv p \land q$ .

Open in App

Solution

$P \cap (q \lor \sim p)$
$(P \cap q) \lor (q \land \sim p)$
$= (p \cap q) \lor I$
$= (P \cap q)$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Without using truth table show that

\sim (p \lor q) \lor (\sim p \land q) \equiv\sim p

Q. Without using truth tables, show that

p \land (q \lor \sim p) = p \land q

Q. Using truth table show that

\sim (p \to\sim q) \equiv p \land q

p \to q \equiv (\sim p) \lor q

, by using truth table.

Q. Without using truth tables, show that

(p \land q) \lor (\sim p \land q) \lor (\sim q \land r) = q \lor r

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Definition of Sets

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Definition of Sets

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon