Michigan State University - Diagnostic Exam

 [next]  [prev]  [bottom]  [up] 

5.4

  •   The solution set of the inequality x2(x - 1)(x + 2) ≥ 0 is?

    a) -2 ≤ x ≤ 1 b) x ≤-2 or 0 ≤ x ≤ 1
      
    c) -2 ≤ x ≤ 0 or {0} or x ≥ 1 d) x ≤-2 or {0} or x ≥ 1
      
    e) {-2, 0, 1}

Diagnostic:

Solution:

The graph of y = p(x) = x2(x - 1)(x + 2) is shown below. It follows that the solution corresponds to those x values shown in red.

PIC

Diagnostic:

If you miss this question please review polynomial inequalities.

 [next]  [prev]  [top]  [up] 

July 15, 2008