CPM Homework Help : INT1 Problem 9-94

At the Keaveny Hardware Manufacturing Company they need to meet very specific criteria for the diameter of # $10$ wood screws. The diameter must be $\frac { 3 } { 16 }$ of an inch. The diameter cannot vary more than $\frac { 1 } { 64 }$ of an inch. Write and solve an appropriate absolute value inequality for this situation. Graph your solution.

Hint:

Review Section 9.1.3 on absolute value equations and inequalities, specifically problem 9-29.

Solid circle, with horizontal arrow across the circle, labeled, diameter, 3 sixteenths. Smaller dashed circle, & larger dashed circle, all share the most left point of the circles. Smaller circle, labeled, 3 sixteenths minus 1 60 fourth. Larger circle, labeled, 3 sixteenths + 1 60 fourth.

Answer:

$|x-\frac{3}{16}|\le\frac{1}{64}$
$\frac{11}{64} \le x \le \frac{13}{64} \text{ inches}$

Number line, solid points at 11 60 fourths & 13 60 fourths, with shading between the points.

Use the eTool below to graph the inequality.
Click link at the right to view full eTool version : 9-94 HW eTool