Answer:
[tex]1<x\le \:6[/tex]
Step-by-step explanation:
[tex]6 < x +5 \leq 11\\\\\mathrm{If}\:a<u\le \:b\:\mathrm{then} , \\\:a<u\quad \mathrm{and}\quad \:u\le \:b\\\\6<x+5\quad \mathrm{and}\quad \:x+5\le \:11\\\\Solve\\6<x+5\\\\\\6-5<x+5-5\\\\1<x\\\\x>1\\\\x+5\leq 11\\\\x \leq 11-5\\\\x\leq 6\\\\\mathrm{Combine\:the\:intervals}\\\\x>1\quad \mathrm{and}\quad \:x\le \:6\\\\1<x\le \:6[/tex]
