Problema Solution
the carpenter cuts boards that are 2 meters long. it is acceptable for the length to differ from this value by at most 0.05 meters. write and solve an absolute inequality to find the range of acceptable lengths.
Answer provided by our tutors
Let 'x' be the length of the board cut.
Since it is acceptable for the length to differ from 2 m by at most 0.05 meters we the following absolute-value inequality:
|x - 2 | <= 0.5
Lets solve the inequality :
1.5 <=x < 2.5
The range of acceptable lengths is the interval [1.5, 2.5].