Let C be the set of all complex numbers and C0 be the set of all no-zero complex numbers. Let a relation R on C0 be defined as z1 R z2 ⇔ z1−z2z1+z2 is real for all z1, z2 ∈C0 Show that R is an equivalence relation.

Let C be the set of all complex numbers and C0 be the set of all no-zero complex numbers. Let a relation R on C0 be defined as $z 1 R z 2 \Leftrightarrow \frac{z 1 - z 2}{z 1 + z 2} i s r e a l f o r a l l z 1, z 2 \in C_{0}$ Show that R is an equivalence relation.

Mixed-up sentence exercise

Put the parts in order to form a sentence. When you think your answer is correct, click on "Check" to check your answer. If you get stuck, click on "Hint" to find out the next correct part.