Question

Let p: a student is in the math club and q: a student is in the debate club.



The verbal translation of p ∨ q is:



A student is in math club
in debate club.



p ∨ q is true for a total of
students.

Answer 1

It looks like part of the problem statement is missing (the numbers or a Venn diagram). I can fill the language and tell you how to get the missing count.

Verbal translation of p ∨ q:
"A student is in the math club or in the debate club."
(Here "or" is inclusive: it means "in the math club or in the debate club or in both".)

p ∨ q is true for the number of students who are in at least one of the clubs, i.e. |Math ∪ Debate|. If you know the counts
- |Math| (number in math),
- |Debate| (number in debate),
- |Math ∩ Debate| (number in both),
then
|Math ∪ Debate| = |Math| + |Debate| − |Math ∩ Debate|.

If you give the specific numbers (or the diagram), I will compute the exact total. (Example: if 10 in math, 8 in debate, 4 in both, then p ∨ q is true for 10+8−4 = 14 students.)