Question

Solve the absolute value inequality algebraically.

$y\ \textgreater \ | x-3 | + 9$

Answer 1

Answer:

12-y < x < y-6

Step-by-step explanation:

  y > l x-3 l +9

y-9 > l x-3 l

- ( y-9 ) < x-3 < y-9

9-y+3 < x < y-9+3

=> 12-y < x < y-6

Answer 2

Since - (y - 9) < y - 9 is not true, this inequality is always false.