Question

When are two ordered pairs \((a,b)\) and \((c,d)\) equal?

Options

• If and only if \(a+b=c+d\).

• If and only if \(a=d\) and \(b=c\).

• If and only if \(a=c\) and \(b=d\).

• If and only if \(a=b\) and \(c=d\).

Answer 1

Two ordered pairs are equal only when their corresponding components are equal. Therefore, \((a,b)=(c,d)\) exactly when \(a=c\) and \(b=d\).