[tex]|2w-5| \leq 5\\\\
Formula\ for\ absolute\ value\\\\
|a|=a,\ for\ a \geq 0\\ or\\|a|=-a,\ for\ a<0
\\\\
1)\\
for\ 2w-5 \geq 0\ \ -->2w \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][/tex][tex]2)\\for\ 2w-5<0\ \ \ -->2w<5--->\ \ w<2,5\\
-2w+5 \leq 5\\
-2w \leq 0\\
w>0\\\\Product\ of\ w>0\ and\ w<2,5\\\\w\in(0;2,5]\\\\
Summing\ both\ cases\ w\in(0,5][/tex]
