Question
Write the following sets in the roaster form:
D = {t | t3 = t, t ∈ R}
D = {t | t3 = t, t ∈ R}
✓
Answer
Given that: D = {t | t3 = t, t ∈ R}
$\therefore$ t3 = t
⇒ t3 - t = 0
⇒ t(t2 - 1) = 0
⇒ t(t - 1)(t + 1) = 0
⇒ t = 0, t = 1, t = -1
Hence, D = {-1, 0, 1}
$\therefore$ t3 = t
⇒ t3 - t = 0
⇒ t(t2 - 1) = 0
⇒ t(t - 1)(t + 1) = 0
⇒ t = 0, t = 1, t = -1
Hence, D = {-1, 0, 1}
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