Answer:
[tex]-5<x<10[/tex]
Step-by-step explanation:
[tex]-6<x-1<9[/tex]
If [tex]a<u<b\:[/tex] than [tex]a<u[/tex] and [tex]u<b[/tex]
[tex]-6<x-1[/tex]
⇒ Switch sides:-
[tex]x-1>-6[/tex]
⇒ Add 1 to both sides:-
[tex]x-1+1>-6+1[/tex]
[tex]x>-5[/tex]
And...
[tex]\:x-1<9[/tex]
⇒ Add 1 to both sides:-
[tex]x-1+1<9+1[/tex]
[tex]x<10[/tex]
⇒ Now, Combine the intervals:-
[tex]-5<x<10[/tex]
OAmalOHopeO
