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

-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

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