Question

Absolute value inequality.

Answer 1

$|2w-5| \leq 5\\\\ Formula\ for\ absolute\ value\\\\ |a|=a,\ for\ a \geq 0\\ or\\|a|=-a,\ for\ a2w \geq 5\ \ -->w \geq 2,5\\ 2w-5 \leq 5\\ 2w \leq 10\ \ |:2\\ w \leq 5\\\\ Product\ of\ w \leq 5\ and\ w \geq 2,5\\ w\in[2,5;5]$$2)\\for\ 2w-52w\ \ w0\\\\Product\ of\ w>0\ and\ w$