CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

(p~q)(~pq)is


A

a contradiction

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

a tautology

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

either a or b

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

neither a nor b

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

a contradiction


Explanation for the correct option:

Checj=k if the relationship is a contradiction or tautology or both or neither of them:

We make a truth table to find the answer where T denotes true and F denoted false

pq~p~q(p~q)~pqp~q~pq
TTFFFTF
TFFTTFF
FTTFFTF
FFTTFTF

The last column has all F which stands for false hence it is a contradiction.

Therefore the correct answer is option (A).


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Integration by Parts
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon