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CUET
-- Mathematics - Section B1
Relations and Functions
Solve the following : $|x^2-x|=x^2-x$
$(-∞,∞)$
$(-∞,∞]∪[1,0)$
$(-∞,0]∪[1,∞)$
$[1,∞)$
$|x^2-x|=x^2-x$
$⇒x^2-x≥0⇒x(x-1)≥0$
Using wavy curve method
so $x∈(-∞,0]∪[1,∞)$ domain for equation to be true