Yes indeed individuals have the choice to either save their money or invest it. But it is not recommended to do both is False.
Individuals can do both. If someone has money, they can save a part of it and can invest the other part somewhere. Rather it is a good strategy. Because if the investment couldn't return as expected, there would be the saved money with the person. So it is a good strategy to invest some part of your money while saving the other part.