How do you simplify #-| 5-8| - |-1| = |-6 + 3| + |-8| #?

1 Answer
May 22, 2017

See a solution process below:

Explanation:

First, execute the subtraction and addition operations within the two absolute value functions:

#-abs(color(red)(5 - 8)) - abs(-1) = abs(color(blue)(-6 + 3)) + abs(-8)#

#-abs(color(red)(-3)) - abs(-1) = abs(color(blue)(-3)) + abs(-8)#

Next, execute the absolute value functions. Remember, the absolute value function takes any negative or positive number and converts it to it's positive form:

#-abs(-3) - abs(-1) = abs(-3) + abs(-8)#

#-3 - 1 = 3 + 8#

#-4 != 11#

Therefore, this equation is not true.