Carcass wrote:
\(m ⊕ p =n\)
\(n ⊕ r =m \)
\(n ⊕ q =q \)
\(p ⊕ q =p \)
\(q ⊕ p =r \)
If the relations shown hold for the operation ⊕ and the numbers m, n, p, q, and r, then \([(m⊕p)⊕ q]⊕ p =\)
(A) m
(B) n
(C) p
(D) q
(E) r
[/quote]
We want to find the value of [(m ⊕ p) ⊕ q] ⊕ p
From statement I, we can write: [(
m ⊕ p) ⊕ q] ⊕ p = [(
n) ⊕ q] ⊕ p = [n ⊕ q] ⊕ p
From statement III, we can write: [
n ⊕ q] ⊕ p = [
q] ⊕ p = q ⊕ p
From statement V, we can write:
q ⊕ p = rAnswer: E
Cheers,
Brent