Question

a manufacturer of bicycle parts requires that a bicycle chain have a width of 0.3 inch with an absolute deviation of at most 0.0003 inch. write and solve an absolute value inequality that represents the acceptable widths.

Answer 1

|w-0.3|<=0.0003

Explanation:

Answer 2

`|w-0.3| \leq 0.0003`

And solving we got:

`-0.0003 \leq w-0.3 \leq 0.0003`

`0.3-0.0003 \leq w \leq 0.3+0.0003`

`0.2997 \leq w \leq 0.3003`

Explanation:

For this case we can define the following notation:

`W` represent the width

And we want a maximum error of 0.0003 so we can set up the following equation:

`|w-0.3| \leq 0.0003`

And solving we got:

`-0.0003 \leq w-0.3 \leq 0.0003`

`0.3-0.0003 \leq w \leq 0.3+0.0003`

`0.2997 \leq w \leq 0.3003`