Respuesta :
Using Venn sets, it is found that 35 students registered only for a math course.
What is a Venn set?
- In a Venn set, two non-independent events are related with each other, as are the values associated with each set.
In this problem, the sets are:
- Set A: Student registered for Math.
- Set B: Student registered for English.
We have that:
- 75 students registered for a math course, hence [tex](A - B) + (A \cap B) = 75[/tex]
- 40 for both math and English, hence [tex](A \cap B) = 40[/tex].
The number registered only for a math course is [tex](A - B)[/tex], hence:
[tex](A - B) + (A \cap B) = 75[/tex]
[tex](A - B) + 40 = 75[/tex]
[tex](A - B) = 35[/tex]
35 students registered only for a math course.
You can learn more about Venn sets at https://brainly.com/question/24388608
