# Directions: solve the following absolute value inequalities and choose the letter of the correct answer from the given choices.3. find the solution set of |b – 7| < 6.

a. {b | –13 < b < 13}

b. {b | 1 < b < 13}

c. {b | 1 > b > 13}

d. {b | –13 > b > 13}

Answers: 2

## Answers

Directions: solve the following absolute value inequalities and choose the letter of the correct an...

B

Step-by-step explanation:

Since |b-7| is lesser than 6, then we can set |b-7|=5

b-7=5

b=12

12<13 We only have two options left:A B

A states that anything between -13 and 13

B states that anything between 1 and 13

A:

Set b=0

|0-7|=|-7|=7

But 7>6 and not 7<6

B