Advertisements
Advertisements
Question
The statement `∼ ("p"leftrightarrow∼"q")` is ______.
Options
a tautology
a fallacy
equivalent to `"p"leftrightarrow"q"`
equivalent to `∼"p"leftrightarrow"q"`
MCQ
Fill in the Blanks
Advertisements
Solution
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
Is there an error in this question or solution?
