Which of the following is the solution to |x+8|=1?

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

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step-by-step explanation:

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