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