-2 < x + 2 < 13 The solution set is ?

the expression basically means -2 < x+2 and x+2 < 13

so by the 1st expression, -4 < x and by 2nd, x < 11

Hence, since x > -4 but less than 11, its in between -4 and 11,

-4 < x < 11

- 2 < x + 2 < 13
- 2 - 2 < x + 2 - 2 < 13 - 2
- 4 < x < 11

Answer: - 4 < x < 11

-2 < x + 2 < 13
-2 - 2 < x < 13 - 2
-4 < x < 11

- 4 < x < 11

{ x : - 4 < x < 11 , x Є R }

-2<x+2<13
-2-2<x+2-2<13-2
-4<x<11

-2 < x + 2 < 13

add -2 to each term
-2 - 2 < x + 2 - 2 < 13 - 2
-4 < x < 11

-4<x<11