Question 1151645
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<pre>

The given system of inequalities is


    x >= -5  or  x >= 6.


Notice that the two inequalities are connected by the service word " or ".


It means that the solution to the system is THE UNION of the solutions to each partial inequality.


The solution for the inequality x >= -5  is the set  [-5,oo).

The solution for the inequality x >= 6 is the set [6,oo).


The UNION of these sets is the interval  [-5,oo), i.e. the set of all real number greater or equal to -5.    <U>ANSWER</U>
</pre>


My answer is the same as in the post by @MathLover1.


But she made 2 <U>fatal errors</U> in her post.


First, &nbsp;she write that the solution is the intersection of two partial subsets --- IT &nbsp;IS &nbsp;WRONG.


Second, &nbsp;instead of taking intersection, &nbsp;in her post she takes the union.


So, &nbsp;after making two fatal errors, &nbsp;she came to the correct answer.


It is why I came to warn you and to bring the correct solution.



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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.