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If-z-w-C-and-z-gt-1-w-lt-1-so-z-w-1-z-w-gt-1-demostrate-thr-veracity-of-the-statment-V-or-F-




Question Number 86849 by Mark181999 last updated on 05/Apr/20
If  z,w ε C and ∣z∣>1, ∣w∣<1  so ∣((z−w)/(1−z^− w))∣>1, demostrate  thr veracity of the   statment. (V or F)
$${If}\:\:{z},{w}\:\epsilon\:\mathbb{C}\:{and}\:\mid{z}\mid>\mathrm{1},\:\mid{w}\mid<\mathrm{1} \\ $$$${so}\:\mid\frac{{z}−{w}}{\mathrm{1}−\overset{−} {{z}w}}\mid>\mathrm{1},\:{demostrate} \\ $$$${thr}\:{veracity}\:{of}\:{the} \\ $$$$\:{statment}.\:\left({V}\:{or}\:{F}\right) \\ $$

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