Question

Solve the equation. |K + 9| = 4

Answer 1

Answer:

A) {-13,-5}

Step-by-step 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 ($|x|\ where\ x>0\ and\ x$)  :

For $K+9>0$

$K+9=4$

For $K+9$

$K+9=-4$

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}