Question 1148245
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{{{system(x+y=9,xy^2<=10)}}}


{{{y=9-x}}}
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{{{x(9-x)^2<=10}}}
{{{x(81-18x+x^2)<=10}}}
{{{81x-36x^2+x^3-10<=0}}}
{{{x^3-36x^2+81x-10<=0}}}
From here, a graphing tool might make the work easier.