233k views
3 votes
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

User Wen Xu Li
by
8.1k points

1 Answer

3 votes

Final answer:

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.

User Leandrodemarco
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories