Write the following sets in the roaster from. B = x | x2 = x, x ∈… - Vidyadip

Question

Write the following sets in the roaster from.
B = {x | x² = x, x ∈ R}.

✓

Answer

We have, B = {x + x² = x, x ∈ R}
$\therefore$ x² = x
⇒ x² - x = 0
⇒ x(x - 1) = 0
⇒ x = 0, 1
$\therefore$ B = {0, 1}

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