Question

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

Answer 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

Answer 2

Answer:

-7 OR -9

Step-by-step explanation:

8-7 in the inside

Absolute value of 1 is 1

OR

8-9 in the inside for -1

Absolute value of -1 is 1

Absolute value signs makes everything positive