Home
Class 12
MATHS
The statement: ~((~p wedge q) vee (p w...

The statement:
`~((~p wedge q) vee (p wedge ~ q) vee ( p vee q))` is equivalent to

A

`p vee q`

B

`~p wedge ~ q`

C

`~p vee ~q`

D

`p wedge q`

Text Solution

Verified by Experts

The correct Answer is:
B

`(~p wedge q) vee (p wedge ~ q) -= (p vee q) wedge ~ (p wedge q)`
`rArr (~p wedge q) vee (p wedge ~ q) vee (p vee q) -= (p wedge q)`
`rArr ((~p wedge q) vee (p wedge ~ q) vee (p vee q)) -= p wedge ~ q`
Promotional Banner

Similar Questions

Explore conceptually related problems

p wedge ~q is equivalent to

The statement pattern (pwedgeq)wedge[(pwedgeq)]vee(-pwedgeq) is equivalent to . .......

The Boolean expression ((p wedge q) veef (p vee ~q)) wedge (~p wedge ~q) is equivalent

(p to q) wedge (q to -p) is equivalent to

(p wedge q) to ((r wedgeq) wedge p) is a

The statement p to (~q) is equivalent to