Question

how do I graph x - 1 < -11 or x + 12 > 14

Answer 1

First, you need to simplify them both...

Answer 2

work out x by going x-1=0 and x+12=0
and then solve for y by substituting in 0 for x (e.g. x-1=y, 0-1=y) etc

Answer 3

for first eq
x - 1 < -11
x<-10
for the second
x+12>14
or x>2
that means u have x<-10 or x>2
on the number line first locate -10 and 2
mark the regions towards left of -10 (starting from -10 but excluding -10)
similarly mark the regions towards right of 2 (starting from 2 but excluding 2)