Consider the following inequalities: I. 1 + 4i > 3 + 2i II. 2 + 3i < 3 + 4i III. 4 + 3i > 3 + 4i, where i = √−1. How many of the above are valid?
A.None✓ Correct
B.One
C.Two
D.All the three
Explanation
Inequalities (greater than / less than) are not defined for complex numbers (non-real). The set of complex numbers is not an ordered field. Hence none of the three inequalities involving non-real complex numbers is valid.
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