• Answer:-

    The "snake method" is a visual way to solve quadratic inequalities by analyzing the graph of the quadratic function. Follow these steps: Rewrite the inequality: Ensure the quadratic is in standard form ( ???? ???? 2 + ???? ???? + ???? ax 2 +bx+c) and set it to zero (e.g., ???? 2 − 5 ???? + 6 > 0 x 2 −5x+6>0). Find roots: Solve ???? ???? 2 + ???? ???? + ???? = 0 ax 2 +bx+c=0 to get the critical points. Mark regions: Use the roots to divide the number line into intervals. Test signs: Pick test points from each interval and evaluate the quadratic’s sign. Draw "snake": Sketch the parabola and check where it satisfies the inequality. This method combines visualization and testing for clarity.

Jan 07 2025

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