Question 993893
.
{{{9x^2 + 16}}} ≥ {{{24x}}}. 


This inequality is equivalent to


{{{9x^2 -24x + 16}}} ≥ {{{0}}},


which, in turn, is


{{{(3x - 4)^2}}} ≥ {{{0}}}.


This inequality is always true,  since the left side is the square of a real number.


<U>Answer</U>. &nbsp;The solution is the entire number line, &nbsp;i.e. all real numbers. &nbsp;In the interval form &nbsp;({{{-infinity}}}, {{{infinity}}}).