when you are solving an equation involving absolute values, do you have to have both negative and positve solutions??
not necessarily, it depends on the equation.
e.g.#1
│2x-1│ = 5
then (2x-)=5 or -(2x-1)=5
x=3 or x=-2
here you have a positive as well as a negative solution.
e.g.#2
│11-2x│ = 5
(11-2x) = 5 or -(11-2x) = 5
x=3 or x=8
both solutions are positive.