65.1k views
5 votes
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.

User Kevin Mann
by
4.1k points

2 Answers

1 vote

Answer:

|w-0.3|<=0.0003

Explanation:

User Johannes Jensen
by
4.3k points
7 votes

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

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

User Pramod Ravikant
by
5.3k points