If x2*square* – x – 2 > 0, which of the following is the
solution set for x?  Choose the correct choice from the following answers:
A) x > –1
B) x > 2
C) –1 < x < 2
D) x < –1 or x > 2
E) No solutions are possible
Begin by treating the inequality x2 – x – 2 &gt; 0 as if it were an equation. Factor to find the zeros:   x2 – x – 2 = 0   (x + 1)(x – 2) = 0   x = –1 and x = 2   The graph of this function is a parabola that crosses the x-axis at –1 and 2. This graph is   concave up because the coefficient of the x2 term (that is, a) is positive. The parabola dips   below the x-axis when –1 &lt; x &lt; 2, so these values do not satisfy the equation. Therefore, the   correct answer is D. (If you doubt this answer, note that when x = 0, x2 – x – 2 = –2,   which is less than 0. So 0 is not in the solution set.)   correct answer x &lt; –1 or x &gt; 2) x &lt; –1 or x &gt; 2
<result>D</result>
If x2*square* – x – 2 > 0, which of the following is the
solution set for x?