Question

Solve the following inequality:
$|x^3-1|⩾1-x$

Answer 1

for $x>1⟹x^3-1\ge 1-x$ satisfies for all values

for $x\le 1⟹1-x^3\ge 1-x⟹x^3\le x⟹x\in [0,1]$

$⟹x\in [0,\infty )$