Example of a subset of R^2 which is not a subspace??

[@edwardelric5921]

Sir can I give this as an example : W={(x,y)€ R² | x+y=1}. W is a subset of R² but not a subspace of R². As (0,0) does not belong to W.

[@DrMathaholic]

Yes .its correct!!

[@gamerom9324]

What happen if instead of or union will come statement become true or false

[@DrMathaholic]

Or means union.. i just rephrased ur questions in different way..just to remove union so that it looks nice😀