Answer:
The value of [tex]k[/tex] :
[tex]k < - 5[/tex]
Step-by-step explanation:
Solve the inequality for [tex]k[/tex] :
[tex]5(k+4)<-5[/tex]
Use Distributive Property:
[tex]5(k+4)<-5[/tex]
[tex]5k + 20 < -5[/tex]
-Subtract both sides by 20:
[tex]5k + 20 - 20 < -5 -20[/tex]
[tex]5k < -25[/tex]
-Divide both sides by 5:
[tex]\frac{5k}{5} < \frac{-25}{5}[/tex]
[tex]k < -5[/tex]
So, therefore, the final answer would be [tex]k < -5[/tex] .
