The correct answer is - True.
Desert plants are widely spaced because of the lack of water in the deserts. They are highly adapted to manage to get every drop of water, be it through their roots or through their leafs or thorns. They have very big root systems, that are both very deep and very big in diameter, so it is practically impossible for them to be next to each other because their root systems are so big and also the lack of water and nutrients, if they are next to each other they will not be able to survive because while competing with each other none of the plants will be able to satisfy its needs.