Respuesta :

mhanifa

Answer:

  • Option A

Step-by-step explanation:

Find zeros first:

  • x² + x - 6 = x² + 3x - 2x - 6 = x(x + 3) - 2(x + 3) = (x - 2)(x + 3)
  • x = 2, x = -3, x = 7 (but x ≠ 7 as no division by zero)

We have 4 intervals:

  • x ≤ - 3, three negatives, the result is negative or zero
  • -3 ≤ x ≤ 2, two negatives and one positive, the result is positive or zero
  • 2 ≤ x < 7, two positives and one negative, the result is negative or zero
  • x > 7, three positives, the result is positive or zero

The solution is:

  • x ≤ - 3 or 2 ≤ x < 7

Correct choice is A

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