<PRE><B>Question 47717</B>
.
Solve the inequality and write in interval notation
16 is less than or equal to 7-3x&lt;31
Thank you, Michelle
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&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;In his post, &amp;nbsp;@consc198 solves inequality &amp;nbsp;7-3x &lt; 31.

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;He did it &amp;nbsp;FUNDAMENTALLY &amp;nbsp;WRONG.


&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;For correct solution to this inequality see what follows.



&lt;pre&gt;
7 - 3x &lt; 31.


Move 3x to the right side, changing the sign.

Move 31 to the left side, changing the sign.

You will get an equivalent inequality


    7 - 31 &lt; 3x,

      -24  &lt; 3x.


Divide both sides by 3

      -8   &lt; x.


&lt;U&gt;ANSWER&lt;/U&gt;.  The solution to inequality  7-3x &lt; 31  is the set of real numbers  x &gt; -8.
&lt;/pre&gt;

Solved correctly.


As this person, @consc198, solves simple standard Math problems, he deserves to be excluded 
from everywhere of an educational community, since he is not able to teach in a right way.



</PRE>