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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

Solve −x2+x+6≥0-x^2 + x + 6 \ge 0.

  • A

    −2≤x≤3-2 \le x \le 3

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  • B

    x≤−2x \le -2 or x≥3x \ge 3

  • C

    x≤−3x \le -3 or x≥2x \ge 2

  • D

    −3≤x≤2-3 \le x \le 2

Explanation

−(x2−x−6)≥0-(x^2 - x - 6) \ge 0, (x−3)(x+2)≤0(x-3)(x+2) \le 0, so −2≤x≤3-2 \le x \le 3.

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