Question

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Answer 1

Answer:

A. x < 6 and x > - 28

Step-by-step explanation:

We have been given the following inequality;

| x+11 | < 17

We can replace the absolute value function by re-writing the inequality as;

-17< x+11<17

subtract 11 from both sides;

-17-11<x+11-11<17-11

-28<x<6

splitting this we have;

x<6

x>-28

Answer 2

Answer:

A. x < 6 and x > - 28

Step-by-step explanation:

| x+11 |< 17

x + 11 < 17

x < 6

-(x + 11) < 17

-x - 11 < 17

-x < 28

x > - 28

Answer

6 > x > -28 (x < 6 and x > - 28)