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Answer :

[tex]\begin{gathered} 2|10b\text{ +7| -1 >73} \\ 2|10b\text{ +7|>73+1} \\ 2|10b\text{ +7| }>\text{ 74} \end{gathered}[/tex][tex]\begin{gathered} |10b+7|>\frac{74}{2}\text{ } \\ |10b\text{ + 7|>37} \end{gathered}[/tex]

This implies that

[tex]\begin{gathered} 10b\text{ +7 }>\text{ 37} \\ or \\ 10b\text{ +7 <-37} \end{gathered}[/tex][tex]\begin{gathered} \text{if 10b + 7>37} \\ \text{then 10b >37-7} \\ 10b\text{ >30} \\ b\text{ >}\frac{30}{10} \\ b\text{ >3} \end{gathered}[/tex][tex]\begin{gathered} \text{if 10b + 7<-37} \\ 10b\text{ <-37-7} \\ 10b<-44 \\ b<\frac{-44}{10} \\ b<-4.4 \end{gathered}[/tex]

Combining them we have

-4.4

Now to the graph

View image HenrikH471052

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