graph of |x|=-5 is not possible.
We know that modulus makes everything inside it as positive.
To make the graph of equations with modulus functions, we need to make cases as to check the behavior of the modulus. In this:
CASE-1 :
when expression inside modulus is positive,i.e., x ≥ 0, ∴ |x| = x
Now, |x| = -5
x = -5 ; but we assumed x ≥ 0
So, this case is false.
CASE-2 :
when expression inside modulus is negative,i.e., x < 0, ∴ |x| = -x
Now, |x| = -5
-x = -5
x = 5 ; but we assumed x < 0
So, this case is also false.
In these two cases all the real possible values of x is covered.
Therefore no real value of x satisfies the equation. So, this is false and no graph for it is possible.