The United States postal service charges a "nonmachinable surcharge" for first class mail if the length of the envlope (parallel to the address) divided by the height of the envolope is less than 1.3 or more than 2.5. Charlene has an envelope with the height of 3.5in. Write a compound inequality to show the lenghts in inches for which charlene will have to pay the surcharge.

Answer 1

we know the surcharge applies if

l/h < 1.3 or l/h > 2.5
so, with h=3.5, we find that

l/3.5 < 1.3 or l/3.5 > 2.5
that is,
l<4.55 or l>8.75

Answer 2

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