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Question
Answer the following:
Determine the domain and range of the following relation.
R = {(a, b)/b = |a – 1|, a ∈ Z, IaI < 3}
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Solution
R = {(a, b)/b = |a – 1|, a ∈ Z, IaI < 3}
Since, a ∈ Z and |a| < 3
∴ a < 3 and a > – 3
∴ – 3 < a < 3
∴ a = – 2, – 1, 0, 1, 2
b = |a – 1|
When a = – 2, b = 3
When a = – 1, b = 2
When a = 0, b = 1
When a = 1, b = 0
When a = 2, b = 1
∴ Domain (R) = {– 2, – 1, 0, 1, 2}
Range (R) = {0, 1, 2, 3}
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