A) \(\displaystyle {(x,y) \epsilon R^2 : {x \epsilon Q} { or} {(x+y ) \epsilon Q} } \)

B)\(\displaystyle {(x,y) \epsilon R^2 : {x \epsilon Q} and {y \epsilon Q} } \)

C) \(\displaystyle {(x,y) \epsilon R^2 : {x \epsilon Q} { or} {y \epsilon Q} } \)

D) \(\displaystyle {(x,y) \epsilon R^2 : {x \epsilon Q} { or} {y^2 \epsilon Q} } \)

In my view Option D contains all irrational and rational values as y can be an irrational whose square gives us a rational number which belongs to $Q$.

Please correct me If I'm wrong.

Thanks