I know that there is no adjective form for business, if I wanted to say that I live in a family whose traditional job is business. which of the following sentence would be correct?
1- I was born and have been living all my life in a business family.
2- I was born and have been living all my life in a business class family.
Best Answer
It is possible to talk about the "family business" in a generic way:
However, "business" by itself is often too ambiguous to tell the reader anything interesting about your family. Instead, it's natural to be specific about the kind of business your family does. Some examples:
You can substitute whatever details are appropriate:
Side note: I use "was" to talk about the family business rather than "is". This should not be interpreted to mean that the family is now "out of business". It simply refers to the past time period "when I was growing up". The family business could be doing just fine.
If you want to be clear that the family is still in the same business, you can instead use "is"
[Edit] The expression "business class" is not used outside of travel. If you mean to distinguish your family as something other than "working class", then the only distinction in common use is "upper class". Many upper class families own one or more businesses as their source of income, but it's their wealth that makes them upper class.
If you want to refer to the social class of people who own businesses (in something like an economic or political treatise) then there is the term bourgeoisie, borrowed from the French, which can specifically refer to the class of society which owns the means of production. It is not, however, normally perceived as a complimentary term.