How Close Must x Be to 2 for 5x+3 to Be Within 0.075 of 13?

[step1536]

How close to 2 do we have to take x so that 5x+3 is within a distance of 0.075 from 13.
I am confuse on how to evaluate this problem.

 

[VeeEight]

You should state your question more clearly.

A distance of 0.075 from 13 can be 13 + 0.075 or 13 - 0.075. Can you find an x such that 5x+3 evaluates to one of those two points?

 

[HallsofIvy]

5x+3 will be within distance 0.075 from 13 (above or below) as long as 5x+ 3 is between 13- 0.75 and 13+ 0.75 or 12.25\le 5x+ 3\le 13.75. Solve that inequality for x. How close is that to 2?

 

[step1536]

I understand that part but how do you work the problem out?

 

[step1536]

so x=1.85,2.15; then I would then subtract 2-1.85 and 2-2.15. my answer would be .15

 

[Saladsamurai]

Hey step: check out this web site. i thought it was helpful (the "flash" examples in particular)

http://archives.math.utk.edu/visual.calculus/1/definition.6/index.html