If the inverse of implication ` p to q ` is defined as ` ~ p to ~q` , then the inverse of the proposition ` ( p ^^ ~ q) to r ` is

Question

If the inverse of implication ` p to q ` is defined as ` ~ p to ~q` , then the inverse of the proposition ` ( p ^^ ~ q) to r ` is

If the inverse of implication ` p to q ` is defined as ` ~ p to ~q` , then the inverse of the proposition ` ( p ^^ ~ q) to r ` is
A. `~r to (~pvvq)`
B. `r to (p^^~q)`
C. `~qvv(p^^r)`
D. none of these

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
Inverse of `p to q` is `~p to ~q`
Therefore, inverse of `(p^^~q) to r` is
`~(p^^~q) to ~r`
`-=~(p^^(~(~(p^^r))`
`-=~q^^(p^^r)`

4 views Answered 2023-02-05 15:29