Question

Write the following sets in the roaster form:
D = {t | t³ = t, t ∈ R}

Answer 1

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}