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Solving a polynomial inequality with a number line and solution intervals.

A blackboard displaying the solution to a polynomial inequality, showing the steps from the original inequality x³ - x ≤ 3x² - 3 to the factored form (x-3)(x+1)(x-1) ≤ 0, with a number line illustrating the solution intervals [-∞, -1] ∪ [1, 3].

A blackboard displaying the solution to a polynomial inequality, showing the steps from the original inequality x³ - x ≤ 3x² - 3 to the factored form (x-3)(x+1)(x-1) ≤ 0, with a number line illustrating the solution intervals [-∞, -1] ∪ [1, 3].

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