Final answer:
Complex numbers like z1 = 3 + 4i and z2 = 4 + 3i do not have an order relation such as greater than or less than. They can only be compared for equality, and z1 is not equal to z2, though their magnitudes are equal.
Step-by-step explanation:
When comparing complex numbers such as z1 = 3 + 4i and z2 = 4 + 3i, it is important to note that the concept of greater than (>) or less than (<) does not apply in the same way it does for real numbers. Complex numbers are not ordered in this manner because they have both a real part and an imaginary part. Therefore, we cannot say that z1 is greater than or less than z2. The only comparison we can make is whether the two numbers are equal or not equal, which, in this case, they are not. However, if we compute the magnitude of each complex number, we find that |z1| = |3 + 4i| = 5 and |z2| = |4 + 3i| = 5, so their magnitudes are equal. Hence, the correct answer to the question of order relation between z1 and z2 is that they are not equal: a. z1 ≠ z2.