SOLUTION: Express as an inequality. A box of cereal is not properly filled if the amount of cereal x in the box is more than 12.2 ounces or fewer than 11.8 ounces. Let x be the amount of t

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Question 1178500: Express as an inequality.
A box of cereal is not properly filled if the amount of cereal x in the box is more than 12.2 ounces or fewer than 11.8 ounces. Let x be the amount of the cereal in the box.
Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
X > 12.2
0R
X < 11.8
0R
1.8 > X > 12.2
Wish You the Best in your Studies.


Answer by ikleyn(52909)   (Show Source): You can put this solution on YOUR website!
.

A box is properly filled if both inequalities are valid simultaneously

    x >= 11.8  ounces  AND  x <= 12.2 ounces.



It is the same as one compound inequality

    11.8 <= x <= 12.2,


or, in the form of the absolute value inequality

    | x - 12 | <= 0.2.




The box is improperly filled, if 

    x < 11.8  ounces  OR  x > 12.2 ounces.

Solved, answered and explained.

-------------------

On systems of inequalities,  compound inequalities,  and absolute value inequalities  see the lessons
    - Solving systems of linear inequalities in one unknown
    - Solving compound inequalities
    - Solving absolute value inequalities
in this site.


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Ignore the post by @ewatrrr,  since it contains errors and nonsensical inequalities.



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