we are given
[tex]4(0.8x+2.5)<2(0.125-0.9)[/tex]
we have to solve for x
step-1: Simplify right side
[tex]4(0.8x+2.5)<2(-0.775)[/tex]
[tex]4(0.8x+2.5)<-1.55[/tex]
step-2: Simplify left side
[tex]4*0.8x+4*2.5<-1.55[/tex]
[tex]3.2x+10<-1.55[/tex]
step-3: Subtract both sides by 10
[tex]3.2x+10-10<-1.55-10[/tex]
[tex]3.2x<-1.55-10[/tex]
[tex]3.2x<-11.55[/tex]
step-4: divide both sides by 3.2
[tex]x<-3.609375[/tex]
so,
Answer is [tex]x<-3.609375[/tex]