Math  /  Algebra

Question Find the real numbers xx that satisfy the equation x=x|x| = x. Express the solution set in set-builder notation.

Studdy Solution
Combine the results from STEP_4 and STEP_9 to write the solution in set-builder notation.
The solution set is: {xRx0} \{ x \in \mathbb{R} \mid x \geq 0 \}
This is the set of all non-negative real numbers.
The real numbers that satisfy the equation x=x |x| = x are all non-negative real numbers, including zero.

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