Byju's Answer
Standard XII
Mathematics
Compound Statement
The statement...
Question
The statement
∼
(
p
↔
∼
q
)
is
A
equivalent to
p
↔
q
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B
equivalent to
∼
p
↔
q
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C
a tautology
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D
a fallacy
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Solution
The correct option is
A
equivalent to
p
↔
q
p
q
∼
p
∼
q
p
↔
q
p
↔
∼
q
∼
p
↔
q
∼
(
p
↔
∼
q
)
T
F
F
T
F
T
T
F
F
T
T
F
F
T
T
F
T
T
F
F
T
F
F
T
F
F
T
T
T
F
F
T
Hence,
∼
(
p
↔
∼
q
)
i
s
e
q
u
i
v
a
l
e
n
t
t
o
(
p
↔
q
)
.
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Compound Statement
Standard XII Mathematics
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