Doing either is often easy. You can keep budget OR run marketing campaign. You can have a wife OR a girlfriend. You can be rich OR poor. You can have the cake OR eat the cake. Build a hich-tech car OR a cheap car.
But - what is more interesting is to do 'both'. Using the AND.
To keep budget AND run the marketing campaign. Have a wife AND a girlfriend. To drive the car fast AND safe. Get a high-tech AND cheap car.
The innovator is a problem solver. Solving the contradiction and making it possible to have both. In TRIZ a main theme is to resolve contradictions.
Do not accept compromises. Make sure you have the cake and eat it. Dont settle for "either" - get "both".
And consider how reliefed Armstrong became when he heard that the vision was "put a man on the moon AND bring him back alive"