Question 1174566
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<pre>

You start from this compound inequality


    -9 < 8x + 7 <= 13.


Subtract 7 from both sides and combine like terms.  You will get


    -16 < 8x < 6.


Divide by 8 both sides


    -2  < x <= {{{6/8}}} = {{{3/4}}}.


It is your <U>ANSWER</U>:  the solution set is  -2 < x <= {{{3/4}}}.

                    In the interval form,  (-2,{{{3/4}}}).
</pre>

Solved, answered and explained.  &nbsp;&nbsp;//  &nbsp;&nbsp;And completed.


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On solving systems of inequalities and compound inequalities, 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> 

in this site.


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