ok, so
remember that the absolute value signs make whatever is inside positive (actually measures the distance but saying it makes it positive is easier)
so example
|3|=3
|-3|=3
what we do to solve is like this
if
|x|=y
assume that
x=y and x=-y
so
|2n-2|≤14
assume
2n-2≤14 and 2n-2≥-14 because remember that negative flips the relation symbol
solve each
2n-2≤14
add 2 to both sides
2n≤16
divide both sides by 2
n≤8
other one
2n-2≥-14
add 2 to both sides
2n≥-12
divide by 2
n≥-6
so
n≤8 and n≥-6
or
-6≤n≤8
basically all numbers from -6 to 8
S={n | -6≤n≤8}
