+579 \(\left|x-5\right|+11\le \:18\)
\(\left|x-5\right|+11-11\le \:18-11\)
\(\left|x-5\right|\le \:7\)
\(\mathrm{Apply\:absolute\:rule}:\quad \mathrm{If}\:|u|\:\le \:a,\:a\:>\:0\:\mathrm{then}\:-a\:\le \:u\:\le \:a\)
\(-7\le \:x-5\le \:7\)
\(x\ge \:-2\quad \mathrm{and}\quad \:x\le \:12\)
\(== -2\le \:x\le \:12\)
+579 \(\left|x-5\right|+11\le \:18\)
\(\left|x-5\right|+11-11\le \:18-11\)
\(\left|x-5\right|\le \:7\)
\(\mathrm{Apply\:absolute\:rule}:\quad \mathrm{If}\:|u|\:\le \:a,\:a\:>\:0\:\mathrm{then}\:-a\:\le \:u\:\le \:a\)
\(-7\le \:x-5\le \:7\)
\(x\ge \:-2\quad \mathrm{and}\quad \:x\le \:12\)
\(== -2\le \:x\le \:12\)
