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  • Help me solve this Contrapositive of the statement ‘If two numbers are not equal, then their squares are not equal’, is :

Contrapositive of the statement ‘If two numbers are not equal, then their squares are not equal’, is :

 

  • Option 1)

     If the squares of two numbers are equal, then the numbers are equal.

  • Option 2)

    If the squares of two numbers are equal, then the numbers are not equal.

  • Option 3)

    If the squares of two numbers are not equal, then the numbers are not equal.

  • Option 4)

    If the squares of two numbers are not equal, then the numbers are equal.

     

 

Answers (1)

best_answer

As we learnt in 

Implications -

Symbol of If p then q is p \rightarrowq or p \Rightarrowq

-

 

Contrapositive of p\Rightarrow q

is \sim q \Rightarrow \sim p

Thus we get

if the squares of two numbers are equal, then number are equal.


Option 1)

 If the squares of two numbers are equal, then the numbers are equal.

Correct

Option 2)

If the squares of two numbers are equal, then the numbers are not equal.

Incorrect

Option 3)

If the squares of two numbers are not equal, then the numbers are not equal.

Incorrect

Option 4)

If the squares of two numbers are not equal, then the numbers are equal.

 

Incorrect

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Plabita

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