Absolute value inequality.

1 answer:

5 0

$|2w-5| \leq 5\\\\
Formula\ for\ absolute\ value\\\\
|a|=a,\ for\ a \geq 0\\ or\\|a|=-a,\ for\ a2w \geq 5\ \ -->w \geq 2,5\\
2w-5 \leq 5\\
2w \leq 10\ \ |:2\\
w \leq 5\\\\
Product\ of\ w \leq 5\ and\ w \geq 2,5\\
w\in[2,5;5]$ $2)\\for\ 2w-52w\ \ w0\\\\Product\ of\ w>0\ and\ w$

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$\huge{ \boxed{ \tt{Solution :-}}}$

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$\sf{What\: is\: the\: value \:of \: f(6)?}$

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