Answer:
A) {-13,-5}
Step-by-step explanation:
Given expression:
[tex]|K+9|=4[/tex]
We need to solve for [tex]K[/tex]
Since [tex]K+9[/tex] lies in the absolute brackets, so we can write the solution as ([tex]|x|\ where\ x>0\ and\ x<0[/tex]) :
For [tex]K+9>0[/tex]
[tex]K+9=4[/tex]
For [tex]K+9<0[/tex]
[tex]K+9=-4[/tex]
Solving for K individually.
Subtracting both sides by 9.
[tex]K+9-9=4-9[/tex] and [tex]K+9-9=-4-9[/tex]
[tex]K=-5[/tex] and [tex]K=-13[/tex]
So, the solution can be written as {-13,-5}
