Mathematical Reasoning

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New answer posted

a month ago

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A
alok kumar singh

Contributor-Level 10

Let TV (r) denotes truth value of a statement r.
Now, if TV (p) = TV (q) = T
⇒ TV (S? ) = F
Also, if TV (p) = T and TV (q) = F
⇒ TV (S? ) = T

New answer posted

a month ago

0 Follower 1 View

A
alok kumar singh

Contributor-Level 10

(p ^ q) should be TRUE and (~q v r) should be FALSE.

New answer posted

a month ago

0 Follower 2 Views

V
Vishal Baghel

Contributor-Level 10

p →~ (p ∧ ~ q)
=~ p ∨ ~ (p ∧ ~ q)
=~ p ∨ ~ p ∨ q
=~ p ∨ q

New answer posted

a month ago

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R
Raj Pandey

Contributor-Level 9

Kindly consider the following Image

 

New answer posted

a month ago

0 Follower 2 Views

V
Vishal Baghel

Contributor-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→p
q→p: I will not catch the train, then I do not reach the station in time.

New answer posted

a month ago

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R
Raj Pandey

Contributor-Level 9

(p⇒q)∧ (q⇒¬p) ≡ (¬p∨q)∧ (¬q∨¬p) ≡ ¬p∧ (q∨¬q) ≡ ¬p.

New answer posted

a month ago

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A
alok kumar singh

Contributor-Level 10

If A ⊆ B and B ⊆ D then A ⊆ C
Contrapositive is
If A ⊄ C, then A ⊄ B or B ⊄ D

New question posted

a month ago

0 Follower 3 Views

New answer posted

a month ago

0 Follower 2 Views

R
Raj Pandey

Contributor-Level 9

Kindly consider the following Image

 

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