Question

Trying to solve for n

please provide steps
|2n-2| <=14

giving 67 pts if you get this correct

Answer 1

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= -6≤n≤8

Answer 2

-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)