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Question
Write the following sets in the roaster form:
D = {t | t3 = t, t ∈ R}
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Solution
Given: D = {t | t3 = t, t ∈ R}
To find: Roster form of given set
t3 = t
⇒ t3 – t = 0
⇒ t(t2 – 1) = 0
⇒ t(t – 1)(t + 1) = 0
⇒ t = 0, –1 or 1
So, D = {–1, 0, 1}
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