Answer:
number 1 the answer is B
A furniture maker uses the specification 19.88 ≤ w ≤ 20.12
The absolute value inequality is
Given :
A furniture maker uses the specification 19.88 ≤ w ≤ 20.12 for the width w in inches of a desk drawer
We need to write the given inequality in absolute value inequality
if then absolute value inequality is
To find out value of 'a' and 'b' we need to use the given inequality
compare a-b<x<a+b with given inequality
Solve for 'a' and 'b'
Add both equations
Now find out b
The required absolute value inequality is
Learn more : brainly.com/question/1770168
The correct answer is:
|w-20| ≤ 0.12.
Explanation:
We first find the average of the two ends of the inequality:
(19.88+20.12)/2 = 40/2 = 20
This will be the number subtracted from w in the inequality.
Now we find the difference between this value and the ends:
20-19.88 = 0.12
20.12 - 20 = 0.12
This will be what our absolute value inequality ends with; the "answer" part, so to speak.
Since this inequality is written in compact form, it must be an "and" inequality; this means the absolute value inequality must be a "less than or equal to."
This gives us
|w-20| ≤ 0.12