The phrase "a term that encompasses" is correct and can be used in written English.
It is typically used to introduce a concept or idea that encompasses or includes a larger range of related ideas or concepts. Example: "Environmentalism is a term that encompasses various ideologies and movements aimed at preserving and protecting the natural world."
And the number of "non-regular workers" (a term that encompasses temporary, part-time and contract workers) is increasing.
Athersys's cells, derived from human bone marrow, have not yet been tested in people with inflammatory bowel disease, a term that encompasses ulcerative colitis and Crohn's disease.
The parents must be "lawfully present" in the U.S., a term that encompasses citizens, green-card holders, refugees, and others with official protected status.
"Ethnic" restaurants -- a term that encompasses African-American, Asian, Latino and Middle Eastern but not, for some reason, French or Italian -- are generally comfortable with young children, perhaps because they tend to be family-run.
Motion Picture Medical There are about 200 medics -- a term that encompasses emergency medical technicians, paramedics and registered nurses -- who specialize in working on Hollywood sets, soundstages and locations.
He said it had "brought wonderful things to the haredi world," a term that encompasses both Hasidim who revere individual rabbis and other ultra-Orthodox Jews like those in Lakewood who do not.
British Asian was a term that encompassed the multi-religious, multilingual habits of Pakistanis, Bangladeshis and Indians.
Seventeenth-century theorists argued that the noblest form of artistic expression was history painting, a term that encompassed biblical, mythological and historical subjects, as well as allegories.
Autism is a medical term that encompasses a broad spectrum of neurodevelopmental disorders characterized by impaired reciprocal socialization and communication, often accompanied with stereotyped ritualistic behavior.
Genetic screening is a loose term that encompasses everything from a few questions on paper to an in-person interview with a certified counselor trained to find inherited diseases lurking in the family tree.
>> Bronze is a generic term that encompasses alloys with copper as a main constituent.
