solve -5<x+1<14?

-5< x+1 <14
-6 < x < 13
x ∈ (-6,13)

- 6 < x < 13

-5 < x + 1< 14
-5 - 1 < x + 1 - 1 < 14 - 1
-6 < x < 13

Answer: -6 < x < 13

All you need to know is that the expression is shorthand for

-5 < x + 1 and x+1 < 14

Subtract 1 from both sides of the left to get

-5 - 1 < x + 1 - 1 -> -6 < x

Subtract 1 from both sides of the inequality on the right to get

x + 1 - 1 < 14 - 1

x < 13

Putting the two back together

-6 < x < 13

-5<x+1<14

Solved:-6<x<13

subtract 1 from all sides
-6< x< 13
O----------------------------------O
<------------------------------------------->
-6 ...........................................13

it keeps messing up my line graph (and)

-5 < x + 1 < 14
-5 - 1 < x < 14 - 1
-6 < x < 13

-6<x<13