Assertion : f left parenthesis x right parenthesis equals s g n invisible function application left parenthesis x minus vertical line x vertical line right parenthesis can never become positive.
Reason : f(x) = sgn x is always a positive function.

  1. If both (A) and (R) are true, and (R) is the correct explanation of (A) .    
  2. If both (A) and (R) are true but (R) is not the correct explanation of (A) .    
  3. If (A) is true but (R) is false.    
  4. If (A) is false but (R) is true.    

The correct answer is: If (A) is true but (R) is false.

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