x3 +x -10<0
x3 + x -10 < 0 ........ this is probably best done graphically
https://www.desmos.com/calculator/kcwl3qnk6g
It appears that the solution is ( -inf, 2)
\(\displaystyle x^3 + x - 10 = (x-2)(x^{2}+2x+5)=(x-2)\{(x+1)^{2}+4\}\),
curly bracket is always positive, so whole expression is negative if x less than 2.