Answer:
The statement is false. The equation |x|=a has one solution if a is a negative number.
Step-by-step explanation:
Given the expression |x|=a, we must understand that |x| can return both positive and negative value of x i.e
x=a and -x = a
from the second equation,
-x = a
multiply both sides by minus
-(-x) = a
x = -a
Hence If "a" is negative number according to the question then the equation has one solution which renders the fact that the equation has no solution if a is negative false.
