Consider the following:  u,v ∈ C, we say that u is greater than v and write u > v are real and imaginary parts of a complex number. That is, now we can say that 5+3i is greater than 3+5i precisely because 5 > 3. Moreover, we can also say 5+4i is greater than 5+3i because 5=5 and 4 > 3. 1.1 Show that for any u,v∈R, u > v if and only if u > v. 1.2True or False: for any u,v∈C,u>v whenever|u|>|v|. 1.3 True or False: for any u∈C, if |u|=|v|and u >v for any v !=u ∈C, the u∈R

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