A manufacturer is cutting plastic sheets to make rectangles that are 11.125 inches by 7.625 inches. Each rectangle’s length and width must be within 0.005 inches.
A. Plot the acceptable range of lengths on the number line that follows:
B. Write an inequality to represent the solution set on your number line.
C. Plot the acceptable range of widths on the number line that follows:
A manufacturer is cutting plastic sheets to make rectangles that are 11.125 in. by 7.625in. Each rectangle’s length and width must be within 0.005 in. of the desired size. Write and solve inequalities to find the acceptable range for the length l and for the width w.
A. To plot the acceptable range of lengths on the number line, we need to consider the range of 0.005 inches on either side of the given length of 11.125 inches.
On the number line, we start at 11.125 and then go 0.005 inches to the left and 0.005 inches to the right.
The acceptable range of lengths on the number line would be from 11.120 to 11.130 inches.
B. To write an inequality to represent the solution set on the number line, we can use the following inequality:
11.120 ≤ length ≤ 11.130
C. Similarly, to plot the acceptable range of widths on the number line, we consider the range of 0.005 inches on either side of the given width of 7.625 inches.
On the number line, we start at 7.625 and then go 0.005 inches to the left and 0.005 inches to the right.
The acceptable range of widths on the number line would be from 7.620 to 7.630 inches.
To plot the acceptable range of lengths on the number line, we need to consider that each rectangle's length must be within 0.005 inches of 11.125 inches.
To find the range, we can subtract and add 0.005 inches to the given length:
Lower Limit: 11.125 - 0.005 = 11.12 inches
Upper Limit: 11.125 + 0.005 = 11.13 inches
Now, we can plot the acceptable range of lengths on the number line between 11.12 inches and 11.13 inches.
```
----------|----------------------|----------
11.12 11.13
```
To write an inequality to represent the solution set on the number line, we can use the variable "L" to represent the length:
11.12 <= L <= 11.13
Next, let's plot the acceptable range of widths on the number line. Similarly, we need to consider that each rectangle's width must be within 0.005 inches of 7.625 inches.
Lower Limit: 7.625 - 0.005 = 7.62 inches
Upper Limit: 7.625 + 0.005 = 7.63 inches
Now, we can plot the acceptable range of widths on the number line between 7.62 inches and 7.63 inches.
```
----------|----------------------|----------
7.62 7.63
```
To write an inequality to represent the solution set on the number line, we can use the variable "W" to represent the width:
7.62 <= W <= 7.63