Correct Answer - Option 2 : If you cannot write a poem, then you are not good in English
To find the logical equivalent of the given statement is we should find its contrapositive.
Concept used:
Contrapositive and converse Contrapositive and converse are certain
other statements that can be formed from a given statement with “if-then”.
Statement: if p then q
Contrapositive: if not q then not p
If a statement is true, the contrapositive is also true.
For example, let us consider the following “if-then” statement:
- If you are good in English, then you can write a poem.
Then the contrapositive of this statement is:
- If you cannot write a poem, then you are not good in English.
Note that both these statements convey the same meaning. Therefore, if you cannot write a poem, then you are not good in English.
Hence, Option 2 is correct.
- Option 1 is not the correct answer.
Given statement: If you are good in English, then you can write a poem.
Option 1: If you can write a poem, then you are good in English
If you are good in English doesn't necessarily mean that you can write a poem.
- Option 3 is not the correct answer.
Given statement: If you are good in English, then you can write a poem.
Option 3: If you are not good in English, then you cannot write a poem.
The statement states that if someone is good in English, then you can write a poem but it doesn't state anything about someone who is not good in English.
