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

Answer:

$|w-0.3| \leq 0.0003$

And solving we got:

$-0.0003 \leq w-0.3 \leq 0.0003$

$0.3-0.0003 \leq w \leq 0.3+0.0003$

$0.2997 \leq w \leq 0.3003$

Step-by-step 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:

$-0.0003 \leq w-0.3 \leq 0.0003$

$0.3-0.0003 \leq w \leq 0.3+0.0003$

$0.2997 \leq w \leq 0.3003$