Answer:
x < -1
x > -13
Step-by-step explanation:
[tex]\dfrac{4|x+7|}{3}<8[/tex]
[tex]\implies 4|x+7|<24[/tex]
[tex]\implies |x+7|<6[/tex]
[tex]\textsf{Therefore} \ \ x+7<6 \ \ \textsf{and} \ -(x+7)<6[/tex]
[tex]x+7<6[/tex]
[tex]\implies x<-1[/tex]
[tex]-(x+7)<6[/tex]
[tex]\implies -x-7<6[/tex]
[tex]\implies -x<13[/tex]
[tex]\implies x > -13[/tex]
