Mathematical Reasoning
Get insights from 119 questions on Mathematical Reasoning, answered by students, alumni, and experts. You may also ask and answer any question you like about Mathematical Reasoning
Follow Ask QuestionQuestions
Discussions
Active Users
Followers
New answer posted
5 months agoContributor-Level 10
Let p denotes statement
p: I reach the station in time.
q: I will catch the train.
Contrapositive of p→q is q→pq→p: I will not catch the train, then I do not reach the station in time.
New answer posted
5 months agoContributor-Level 10
If A ⊆ B and B ⊆ D then A ⊆ C
Contrapositive is
If A ⊄ C, then A ⊄ B or B ⊄ D
New answer posted
5 months agoContributor-Level 10
Truth table analysis shows that (P ∨ Q) ∧ (¬P) is equivalent to Q ∧ ¬P.
Then (Q ∧ ¬P) ⇒ Q. This is a tautology.
The provided solution seems to have an error.
Let's check the options. (P ∨ Q) is a tautology. (P ∧ ¬Q) is a contradiction.
~ (P ⇒ Q) ⇔ P ∧ ¬Q is true.
New answer posted
5 months agoContributor-Level 10
A | B | A | A -> B | ||||
T | T | T | T | T | T | T | T |
T | F | T | F | T | T | F | F |
F | T | T | F | F | F | T | F |
F | F | F | F | F | F | T | F |
A
Taking an Exam? Selecting a College?
Get authentic answers from experts, students and alumni that you won't find anywhere else
Sign Up on ShikshaOn Shiksha, get access to
- 66k Colleges
- 1.2k Exams
- 686k Reviews
- 1800k Answers