If |z−6|<|z−2|, what is its solution given given by?
If , what is its solution given given by?
Answer & Explanation
2022-01-17Added 573 answers
The inequality is the same as
Expanding and simplifying we get
So the solutions are all complex numbers whose real part is greater than 4
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There are 3 cases which are:
subtract z gives
So is true when
Combining the first two cases and
And finally for case three
which is false
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