Answer:
The solution set is the interval (-∞,-2.43)
Step-by-step explanation:
we have
[tex]-1.5(4x+1)> 4.5-2.5(x-1)[/tex]
solve for x
[tex]-6x-1.5> 4.5-2.5x+2.5[/tex]
[tex]-6x-1.5> 7-2.5x[/tex]
[tex]-6x+2.5x> 7+1.5[/tex]
[tex]-3.5x> 8.5[/tex] ------> Multiply by [tex]-1[/tex]
[tex]3.5x<-8.5[/tex]
[tex]x<-8.5/3.5[/tex]
[tex]x<-2.43[/tex]
The solution set is the interval-------> (-∞,-2.43)
see the attached figure to better understand the problem
