88 Views

truth tabe of conjunctive proposition


Rashiul Sk 25th Dec, 2019
Answers (2)
harshita Tripathi 25th Dec, 2019
The truth table of the conjuctive preposition can be described as follows--
Consider the statement p and q, denoted pq. To analyze this, we first have to think of all the combinations of truth values for both statements and then decide how those combinations influence the and statement. In words:

Row 1: the two statements could both be true.
In this case, it would make sense that p and q is also a true statement.
Row 2: p could be false while q is true.
For p and q to be true, we would need BOTH statements to be true. Since one is false, p and q is false.
Row 3: p could be true while q is false.
If this is the case, then by the same argument in row 2, p and q is false.
Row 4: the two statements could both be false.
If both statements are false, then p and q is false.
The order of the rows doesnt matter as long as we are systematic in a way so that we do not miss any possible combinations of truth values for the two original statements p, q.
IMran Mir 25th Dec, 2019

Hello Greetings!

Hope you are having a nice day!

I would like to inform you that If p and q are two propositions, then conjunction of p and q is a proposition which is-

  • True when both p and q are true
  • False when both p and q are false

Truth Table:-

p q p ∧ q
F F F
F T F
T F F
T T T

Example:-If p and q are two propositions where-

  • p : 2 + 4 = 6
  • q : It is raining outside.Then, conjunction of p and q is-p ∧ q : 2 + 4 = 6 and it is raining outside.

All the best for future!

Thanks.


Related Questions

Amity University | M.Tech Adm...
Apply
Ranked amongst top 3% universities globally (QS Rankings).
Amity University Noida MBA Ad...
Apply
Amongst top 3% universities globally (QS Rankings)
Amity University Noida B.Tech...
Apply
Among Top 30 National Universities for Engineering (NIRF 2024) | 30+ Specializations | AI Powered Learning & State-of-the-Art Facilities
Amity University, Noida BBA A...
Apply
Ranked amongst top 3% universities globally (QS Rankings)
Shoolini University Admission...
Apply
NAAC A+ Grade | Ranked No.1 Private University in India (QS World University Rankings 2025) | 5000+ Placements
Graphic Era (Deemed to be Uni...
Apply
NAAC A+ Grade | Among top 100 universities of India (NIRF 2024) | 40 crore+ scholarships distributed
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books