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Mariulka [41]
3 years ago
10

100 pointsPLEASE HELP SUPER TIRED!!solve the inequality. 4+|t+2|<11

Mathematics
2 answers:
Sonja [21]3 years ago
8 0

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.

dolphi86 [110]3 years ago
6 0

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


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