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Question
Describe the following set in Set-Builder form
{0, –1, 2, –3, 4, –5, 6, ...}
Solution
Let D = {0, –1, 2, –3, –5, 6, ...}
The even integers are 0, 2, 4, 6, ... and have positive sign
The odd integers are 1, 3, 5, ... and have negative sign
∴ D can be written in set builder form as:
D = {x/x = (–1)n–1 × (n – 1), n ∈ N}
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