Question

solve the inequality: x-3<-4 or x -1>5
please help

Answer 1

For the first one try adding 3. i.e \[x-3+3 < -4 +3\]

Answer 2

x-3<-4
you want to get X on its own.
to do this you eliminate anything other than x on the left side
to do this you do the opposite to the number you have on the left side.
you have -3 so you add 3
but anything you do on the left you must do to the right
x-3+3<-4+3
the -3+3 cancel out and -4+3 gives -1 this gives
x<-1

Answer 3

On the 2nd add 1 to both sides

Answer 4

from the 1st x<-1
from the 2nd x>6
\[(-\infty,-1) \cup (6,\infty)\]