- (i) Given that \(p\) and \(q\) are integers such that
use algebra to prove by contradiction that at least one of \(p\) or \(q\) is even.
(ii) Given that \(x\) and \(y\) are integers such that
- \(x < 0\)
- \(( x + y ) ^ { 2 } < 9 x ^ { 2 } + y ^ { 2 }\)
show that \(y > 4 x\)