Question 1126186
.


            Both you and  @josgarithmetic are wrong.


            Below find the correct solution.



<pre>
    -3x - 6 > 14


Add 6 to both sides:


    -3x > 14 + 6 = 20.


Divide both sides by (-3).  You will get


    x < {{{20/(-3)}}} = -{{{6}}}{{{2/3}}}.


<U>Answer</U>.  x  < -{{{6}}}{{{2/3}}}.  The solution set is the interval  ({{{-infinity}}},{{{-6}}}{{{2/3}}}).
</pre>

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See the lesson

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

in this site.