Mathematics - Basic maths Question with Solution | TestHub

$\left|x^2+x+1\right|=|2x+1|+\left|x^2-x\right|$ $|\mathrm{a}+\mathrm{b}|=|\mathrm{a}|+|\mathrm{b}|$ $\therefore \mathrm{a}.\mathrm{b}\ge 0$ $(2x+1)\left(x^2-x\right)\ge 0$ $\mathrm{x}(\mathrm{x}-1)(2\mathrm{x}+1)\ge 0$ \texttt{https://cdn.mathpix.com/cropped/70021c46-16ed-40ec-b1eb-67465bfea46a-05.jpg?height=156&width=481&top_left_y=1528&top_left_x=276} $x\in \left[-\frac{1}{2},0\right]\cup [1,\infty )$