Verified Answer :

texaschic101

-14 < = 2n - 2 < = 14...this is how u set it up for less then
add 2 to everythng
2 - 14 < = 2n - 2 + 2 < = 14 + 2...simplify
-12 < = 2n < = 16 ....divide everything by 2
-12/2 < = (2/2)n < = 16/2...simplify
-6 < = n < = 8 <== ur answer ( n is greater then or equal to -6 and less then or equal to 8)

apologiabiology

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}

Related Questions