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प्रश्न
The statement `∼ ("p"leftrightarrow∼"q")` is ______.
पर्याय
a tautology
a fallacy
equivalent to `"p"leftrightarrow"q"`
equivalent to `∼"p"leftrightarrow"q"`
MCQ
रिकाम्या जागा भरा
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उत्तर
The statement `∼ ("p"leftrightarrow∼"q")` is `underlinebb("equivalent to" "p"leftrightarrow"q)`.
Explanation:
| p | q | ∼q | `bb("p"leftrightarrow∼"q")` | `bb(∼("p"leftrightarrow∼"q")` | `bb("p"leftrightarrow"q")` |
| F | F | T | F | T | T |
| F | T | F | T | F | F |
| T | F | T | T | F | F |
| T | T | F | F | T | T |
From the table columns (i) and (ii) are equivalent.
∴ Equivalent to `"p"leftrightarrow"q"`.
shaalaa.com
Logical Equivalance
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
