Question

Solve the inequality.

Select all that apply.
|b+9| > 4

b<-13 or b> −5
b>-7
b< −10 or b> −4
All real numbers
b<2
No Solution

Answer 1

The values of b that satisfy the inequality |b+9| > 4 are b < -13 or b > -5.

This is determined by considering both cases of the absolute value expression resulting in two separate inequalities.

Therefore, the correct answer is: option "b < -13 or b > -5. "

Step-by-step explanation:

To solve the inequality |b+9| > 4, we need to consider two cases due to the absolute value:

1. Case 1: b+9 > 4
2. Case 2: b+9 < -4

For Case 1:

b+9 > 4
b > 4 - 9
b > -5

For Case 2:

b+9 < -4
b < -4 - 9
b < -13

Combining both cases we get:

b < -13 or b > -5

Therefore, the values of b that satisfy the inequality |b+9| > 4 are b < -13 or b > -5.