The number of solution(s) of $| x^{3} - 1 | = x$ is

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Solution

The graph of $y = x^{3}$ is

Now, the graph of $y = x^{3} - 1$ is

Now, the graph of $y = | x^{3} - 1 |$ and $y = x$ is

Hence, the required number of solutions is $2.$

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