Question 932930
{{{x^4<=10x^2-9}}}


{{{x^4-10x^2+9<=0}}}, from additive inverse application.  You know what the basic shape will be, so just find the roots.  You should check first for factorability.


{{{(x^2-1)(x^2-9)<=0}}}
And you can do more;
{{{(x-1)(x+1)(x-3)(x+3)<=0}}}.


The <s>solution, and</s> roots, are -3, -1, 1, 3.  That is "OR".  You'll need to check the intervals carefully to know just how the graph goes around the -1 and the 1.  Use arithmetic to check this as a help in making the graph.....


This is a graph of the polynomial function, NOT the actual inequality:
{{{graph(300,300,-6,6,-12,12,x^4-10x^2+9)}}}