The solution to |x+8|=1 is -7,-9
Explanation:
Given :
|x+8|=1
To Find:
The solution to |x+8|=1
Solution:
Now, we know the Properties of modulus function as
|x| = x if x>0
|x|= -x if x<0
Similarly property will be followed in the given question as
Case 1: if x>-8
Then the given equation will become as
|x+8|= x+8=1
After solving the equation , we will get
x= -7
Similarly,
Case2: if x<-8
Then the given equation will become as
|x+8|= -(x+8)=1
After solving the equation , we will get
x= -9
Hence, the possible values of x are -7,-9