Math  /  Algebra

QuestionSolve the inequality 2x83x22x - 8 \geq -3x^2 and express the solution in interval notation.

Studdy Solution
To verify this solution, we can graph the inequality 2x83x22x -8 \geq -3x^2 using a graphing utility.
The graph should show that the parabola y=3x2+2x8y =3x^2 +2x -8 is above or on the x-axis (i.e., y0y \geq0) for x2x \leq -2 and x4/3x \geq4/3.
The solution set is (,2][4/3,)(-\infty, -2] \cup [4/3, \infty).

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