Final answer:
The statement consists of a condition stating that if both m and n are even, their sum is also even.
Step-by-step explanation:
The statement given is:
P(m,n) : ∀m,n∈Z, if m,n is even then m+n is even.
To break down the statement:
a. m,n is even: This represents the condition that both m and n are even numbers.
b. ∀m,n∈Z: This represents the universal quantifier stating that m and n are integers.
c. m+n is even: This represents the result or consequence of the condition, stating that the sum of m and n is also even.
d. m,n is even and m+n is even: None of the options directly represent this statement. Option d is incorrect.