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.

Question

CSATHardPrelims 2018Maths

If $x - y = 8$ , then which of the following must be true?

Both $x$ and $y$ must be positive for any value of $x$ and $y$ .
If $x$ is positive, $y$ must be negative for any value of $x$ and $y$ .
If $x$ is negative, $y$ must be positive for any value of $x$ and $y$ .

Select the correct answer using the code given below.

Explanation

$x = 10$ , $y = 2$ $x = 5$ , $y = -3$ $x = -1$ , $y = \pm 9$

Condition 1: If $x > 0$ , then $y$ can be $> 0$ or $< 0$ . Condition 2: If $x < 0$ , then $y < 0$ .

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