Question 1151646
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            The solution by @MathLover is   TOTALLY  WRONG.


            It is why I came to bring the correct solution.



<pre>
You are given the compound inequality, which is the system of two inequalities


    x+2 > 7  or  -4x+1 >= 9.


Notice that the inequalities are connected by the service word " or ", which means that the solution 

to the system is THE UNION of the solution sets for each individual inequality.



First inequality  x+2 > 7 has the solution x > 7, or, in the interval form  (7,oo).


Second inequality  -4x+1 >= 9  has the solution x <= -2, or, in the interval form (-oo,-2].



The solution to the given system of inequalities is THE UNION of these two intervals  (-oo,-2] U (7,oo).    <U>ANSWER</U>
</pre>

Solved.


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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.