i have a question,
here it goes,
A butcher's scale is accurate to within 0.05 pound. A sirloin steak weights 1.14 pounds on this scale. Solve the inequality: lx-1.14l

Question

i have a question, 
here it goes,
A butcher's scale is accurate to within 0.05 pound.  A sirloin steak weights 1.14 pounds on this scale.  Solve the inequality: lx-1.14l<_0.05.  What does the solution interval represent?

anonymous · Answer

to solve:
|x - 1.14 |<.05
-.05< x - 1.14 < .05
1.09<x<1.19

the inequality says that the distance between x and 1.14 is less than or equal to .05 which in this case means the scale can read any number in that interval.