[tex] \text{The given inequality is } |x−35|≤6 [/tex]
This can be solved as below
[tex] |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\\
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\text{Case-2}\\
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x-35\ge \:-6\\
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x-35+35\ge \:-6+35\\
\\
x\ge \:29\\
\\
\text{Hence the required range of solution is}\\
\\
29\le \:x\le \:41 [/tex]
