Solution 3.2:2f

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m (Lösning 3.2:2f moved to Solution 3.2:2f: Robot: moved page)
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In words, the inequality says that the distance
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<center> [[Image:3_2_2f.gif]] </center>
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<math>\left| z-i \right|</math>
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between
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<math>z</math>
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and
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<math>i</math>
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should be strictly greater than
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<math>\text{2}</math>
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and less than or equal to
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<math>\text{3}</math>. This means that the inequality defines an annular set having an inner radius of
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<math>\text{2}</math>
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and outer radius of
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<math>\text{3}</math>, with centre at
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<math>i</math>.
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[[Image:3_2_2_f.gif|center]]
[[Image:3_2_2_f.gif|center]]
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The inner dashed is not included in the set; on the other hand, the outer solid circle does.

Revision as of 14:50, 22 October 2008

In words, the inequality says that the distance \displaystyle \left| z-i \right| between \displaystyle z and \displaystyle i should be strictly greater than \displaystyle \text{2} and less than or equal to \displaystyle \text{3}. This means that the inequality defines an annular set having an inner radius of \displaystyle \text{2} and outer radius of \displaystyle \text{3}, with centre at \displaystyle i.



The inner dashed is not included in the set; on the other hand, the outer solid circle does.

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