1
Question
The negation of the compound proposition p∨(∼p∨q) is
The negation of the compound proposition p∨(∼p∨q) is
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Solution
The correct option is B f
Truth table,
p
q
∼p
(∼p∨q) p∨(∼p∨q) T
T
F
T
T
T
F
F
F
T
F
T
T
T
T
F
F
T
T
T
Hence negation of p∨(∼p∨q) is f.
Truth table,
| p | q | ∼p | (∼p∨q) | p∨(∼p∨q) |
| T | T | F | T | T |
| T | F | F | F | T |
| F | T | T | T | T |
| F | F | T | T | T |
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