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Byju's Answer
Standard XII
Mathematics
Logical Connectives
The inverse o...
Question
The inverse of the proposition
(
p
∧
∼
q
)
→
r
is
A
∼
r
→
(
∼
p
∨
q
)
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B
(
∼
p
∨
q
)
→
∼
r
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C
r
→
(
p
∧
∼
q
)
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D
∼
p
→
(
p
∧
r
)
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Solution
The correct option is
B
(
∼
p
∨
q
)
→
∼
r
The inverse of
x
→
y
is
∼
x
→
∼
y
So, inverse of
[
(
p
∧
∼
q
)
→
r
]
≡
∼
(
p
∧
∼
q
)
→
∼
r
≡
(
∼
p
∨
∼
(
∼
q
)
)
→
∼
r
≡
(
∼
p
∨
q
)
→
∼
r
Hence, the inverse of
(
p
∧
∼
q
)
→
r
≡
(
∼
p
∨
q
)
→
∼
r
Suggest Corrections
2
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Standard XII Mathematics
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