Question

The inequality, |x−35|≤6, describes the the range of typing speeds by Ms. Fletcher's students. Find the range of typing speeds for the students, where speed is measured by the number of words typed per minute, or wpm.

Answer 1

$\text{The given inequality is } |x−35|≤6$

This can be solved as below

$|x-35|\leq6 \\ \\ \text{There two possible cases from here}\\ \text{Case-1}\\ \\ x-35\le \:6\\ \\ x-35+35\le \:6+35\\ \\ x\le \:41\\ \\ \text{Case-2}\\ \\ x-35\ge \:-6\\ \\ x-35+35\ge \:-6+35\\ \\ x\ge \:29\\ \\ \text{Hence the required range of solution is}\\ \\ 29\le \:x\le \:41$