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3 years ago

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

Mathematics

2 answers:

bija089 [108]3 years ago

7 0

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

KonstantinChe [14]3 years ago

6 0

Answer:

-7 OR -9

Step-by-step explanation:

8-7 in the inside

Absolute value of 1 is 1

8-9 in the inside for -1

Absolute value of -1 is 1

Absolute value signs makes everything positive

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