Solution 3.2:2f
From Förberedande kurs i matematik 2
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- | + | In words, the inequality says that the distance <math>|z-i|</math> between <math>z</math> and <math>i</math> should be strictly greater than 2 and less than or equal to 3. This means that the inequality defines an annular set having an inner radius of 2 and outer radius of 3, with centre at <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 circle is not included in the set; on the other hand, the outer solid circle does. |
Current revision
In words, the inequality says that the distance \displaystyle |z-i| between \displaystyle z and \displaystyle i should be strictly greater than 2 and less than or equal to 3. This means that the inequality defines an annular set having an inner radius of 2 and outer radius of 3, with centre at \displaystyle i.
The inner dashed circle is not included in the set; on the other hand, the outer solid circle does.