Answer:
All real numbers are solution for the inequality.
Step-by-step explanation:
Given expression:
[tex]2(-6n-5)<-3(4n+2)[/tex]
Solving the inequality.
Using the distribution.
[tex](2(-6n))+(-2(-5)<(-3(4n))+(-3(2))[/tex]
[tex]-12n-10<-12n-6[/tex]
Adding [tex]12n[/tex] to both sides.
[tex]-12n+12n-10<-12n+12n-6[/tex]
We have,
[tex]-10<-6[/tex]
The above statement is always true and thus the inequality has all real number solutions.
The number line graph for the inequality can be shown.
