Question

If x+y is an even integer, then both x and y are even integers.Which of the following equations is sufficient to show that the statement above is false

Answer 1

In the case of the fourth option,

$\begin{gathered} x=3 \\ y=1 \\ \text{and} \\ x+y=4 \end{gathered}$

So x + y = 4 is even but x = 3 and y =1 are odd.

Hence, the equation in the fourth option is sufficient to show that the statement above is false.