Question

Solve the equation. |K + 9| = 4

A) {-13, -5}

B) {-5, 5}

C) {-5, 13}

D) {all real numbers greater than or equal to -13 and less than or equal to -5}

Answer 1

Answer:the answer is A

Step-by-step explanation:took the test and got it right

Answer 2

A) {-13,-5}

Explanation:

Given expression:

`|K+9|=4`

We need to solve for
`K`

Since
`K+9` lies in the absolute brackets, so we can write the solution as (
`|x|\ where\ x>0\ and\ x<0`) :

For
`K+9>0`

`K+9=4`

For
`K+9<0`

`K+9=-4`

Solving for K individually.

Subtracting both sides by 9.

`K+9-9=4-9` and
`K+9-9=-4-9`

`K=-5` and
`K=-13`

So, the solution can be written as {-13,-5}