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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

Solve x2−3x≥10x^2 - 3x \ge 10.

  • A

    2≤x≤52 \le x \le 5

  • B

    x≤−2x \le -2 or x≥5x \ge 5

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  • C

    x≤−5x \le -5 or x≥2x \ge 2

  • D

    −2≤x≤5-2 \le x \le 5

Explanation

x2−3x−10≥0x^2 - 3x - 10 \ge 0, (x−5)(x+2)≥0(x-5)(x+2) \ge 0: x≤−2x \le -2 or x≥5x \ge 5.

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