Question 1178500
.
<pre>

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.
</pre>

Solved, answered and explained.


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On systems of inequalities, &nbsp;compound inequalities, &nbsp;and absolute value inequalities &nbsp;see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Inequalities/Solving-systems-of-linear-inequalities-in-one-unknown.lesson>Solving systems of linear inequalities in one unknown</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Inequalities/Solving-compound-inequalities.lesson>Solving compound inequalities</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Inequalities/Solving-absolute-value-inequalities-IK.lesson>Solving absolute value inequalities</A> 

in this site.



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