Concept explainers
To solve : the inequalities to find acceptable range for the length l and the width w.
Answer to Problem 15CT
the acceptable range of the length of the rectangle is from 18.50 in. to 18.60 in. and acceptable range of the width of the rectangle is from 36.70 in. to 36.80 in.
Explanation of Solution
Given information: A manufacturer is cutting fabric into rectangles that are 18.55 in. long by 36.75 in. wide. Each rectangle’s length and width must be within 0.05 in. of the desired size. Calculation: Let l and w be the length and width of the rectangles.
Each rectangle’s length and width must be within 0.05 in. of the desired size.
Therefore, the acceptable range of length is given by the inequality
The acceptable range of the width is given by the inequality
Thus, the acceptable range of the length of the rectangle is from 18.50 in. to 18.60 in. and acceptable range of the width of the rectangle is from 36.70 in. to 36.80 in.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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