Question

which of these is correct ?
a) 1+i > 2-i
b) 2+i > 1+i
c) 2-i >1+i
d) none of these
please explain your answer with a suitable theory of complex numbers

Answer 1

Here is your answer.

A complex number is a number of the form a + bi, where a and b are real numbers and i is an indeterminate satisfying i2 = −1. For example, 2 + 3i is a complex number. A complex number may therefore be defined as a polynomial in the single indeterminate i, with the relation i2 + 1 = 0 imposed.

Hope that this helps you.