Respuesta :
Answer:
- 9 < t < 5
Step-by-step explanation:
Isolate | t + 2 | by subtracting 4 from both sides
| t + 2 | < 7
Inequalities of the type | x | < a always have a solution of the form
- a < x < a, hence
- 7 < t + 2 < 7 ( subtract 2 from all 3 intervals )
- 9 < t < 5
Answer:
-9 < t < 5.
Step-by-step explanation:
4 + |t + 2| < 11
|t + 2| < 7
As the left side is an absolute value:
t + 2 < 7 or t + 2 > -7
t + 2 < 7
t < 5
t + 2 > -7
t > -9.