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If x - y = 8, then which of the following must be true?  1. Both x and y must be positive for any value of x and y. 2. If x is positive, y must be negative for any value of x and y. 3. If x is negative, y must be positive for any value of x and y.  Select the correct answer using the code given below. 

If x - y = 8, then which of the following must be true?  1. Both x and y must be positive for any value of x and y. 2. If x is positive, y must be negative for any value of x and y. 3. If x is negative, y must be positive for any value of x and y.  Select the correct answer using the code given below.  Correct Answer Neither 1 nor 2 nor 3

Given :

x - y = 8 

Calculations :

For this question, we must check each option 

For option (1) ⇒ x - y = 8 at x = 4 and b = -4, so option 1 does not satisfy. 

For option (2) ⇒ x - y = 8 at x = 12 and y = 4, so option 2 also does not satisfy. 

For option (3) ⇒ x - y = 8 at x = -1 and y = -9, so option 3 also does not satisfy. 

So no option follows. 

∴ Option 4 will be the right choice. 

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