Michigan State University - Diagnostic Exam

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1.19

  •   Envelopes sent through the US Postal Service must satisfy several conditions. The ratio of the length to the width must be less than or equal to 2.5 and the ratio must also be greater than or equal to 1.3. If the width of an envelope is 4 inches, which condition describes the possible lengths?

    a) 5.2 ≤ L ≤ 10 b) L ≥ 5.2 or L ≤ 10
       
    c) L ≥ 0.16 or L ≤ 0.30 d) 0.16 ≤ L ≤ 0.30
       
    e) L ≤ 5.2 and L ≥ 10

Solution:

L- ⇒1.3≤ 4 ≤ 2.5 ⇒ 5.2 ≤ L ≤ 10

Diagnostic:

If you miss this question please review applications involving compound inequalities.

Also, see 1.16: Application .

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July 15, 2008