Question

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

Answer 1

-9 < t < 5.

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.

Answer 2

- 9 < t < 5

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