Question 1086627
.
<pre>
Notice that if x is negative, then {{{6/x}}} is negative and, therefore, can not be greater or equal to 5.


Hence, the solution set {x} is among positive real numbers.


Assuming that x is positive, multiply both sides of {{{6/x}}} >=5 by x.

Since x is positive, you can keep the same inequality sign.


So, your inequality becomes 6 >= 5x.


Now divide both sides by the positive number 5. You will get an equivalent inequality  x <= {{{6/5}}}.
</pre>

<U>Answer</U>.  The solution set is 0 < x <= {{{6/5}}}.


Illustration:



{{{graph( 330, 330, -5.5, 5.5, -5.5, 10.5,
          6/x, 5
)}}}


Plots y = {{{6/x}}} (red) and y = 5 (green)