Answer:
[tex]4r-39>-43[/tex]
[tex]4r-39+39>-43+39[/tex]
[tex]4r>-4[/tex]
[tex]\frac{4r}{4}>\frac{-4}{4}[/tex]
[tex]\boxed{r>-1}[/tex]
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[tex]8x+31<23[/tex]
[tex]8x+31-31<23-31[/tex]
[tex]8x<-8[/tex]
[tex]\frac{8x}{8}<\frac{-8}{8}[/tex]
[tex]\boxed{x<-1}[/tex]