Michigan State University - Diagnostic Exam

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1.15

  •   For which values of x is - 5x - 2 ≥ - 5(x + 3) ?



    a) x ≥ - 2 b) x ≥ - 13 c) x ≥ - 15
         
    d) no real numbers e) all real numbers

Solution:
⇒ - 5x - 2 ≥ - 5x - 15 ⇒ - 2 ≥ - 15 . Now the last inequality is true for all real numbers.

Diagnostic:

See 1.5: Linear Inequalities .

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July 15, 2008