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