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How many integers are there in the solution set of $|x-2| <= 5.6$?

 Aug 18, 2017
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l x - 2 l ≤ 5.6

 

We have two equations here

 

x - 2  ≤ 5.6            and                x  - 2  ≥   - 5.6

 

add  2 to both sides

 

x ≤ 7.6                                     x ≥  -3.6

 

So.....the solution set is

 

-3.6 ≤ x ≤ 7.6

 

And there are 11 integers between these two values

 

 

cool cool cool

 Aug 18, 2017

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