Question

Absolute valuehow do i solve [n-3]=5

Answer 1

Given the expression

`|n-3|=5`

to solve absolute value equation we need to keep in mind the function inside the absolute value (n-3 in this case) could be positive or negative

with this idea in mind absolute value as 2 possible solutions

1 when the function is positive (n-3)

2. when the function is negative -(n-3)

1. positive function

`n-3+3=5+3`
`n=5+3`
`n=8`

2. negative function

`-n+3=5`
`-n=5-3`
`n=2*(-1)`
`n=-2`

then possible solution for absolute value equation are

n=8

n=-2