13.9k views
2 votes
Which represents the solution to the above absolute value equation? 2|x+2|-1=5

Which represents the solution to the above absolute value equation? 2|x+2|-1=5-example-1
User TheWizEd
by
8.8k points

2 Answers

5 votes

Answer: C, x = 1 or x = -5

Explanation:

User Oliver Rice
by
8.4k points
2 votes

Answer:

C. x=1 or x=-5

Explanation:

1. First, we have to get the absolute value alone.

2|x+2|-1=5

2. Add 1 to both sides.

2|x+2|-1 +1 = 5 +1. The -1 and +1 will cancel each other out.

You will get 2|x+2|=6.

3. Divide 2 by both sides.


(2|x+2|)/(2) =
(6)/(2)

The division of 2 and the multiplication of 2 on the side of the absolute value will also cancel each other out.

You will get |x+2|=3.

4. Next, we will split this absolute value equation into two equations because we don't know if the variable of x that's inside of the absolute value is negative or not.

x+2=3 or x+2=-3.

5. Subtract 2 from all sides.

x+2 -2 =3 or x+2 -2 =-3

You will get x=1 or x=-5.

x=1 or x=-5 is your final answer.

User Richard Houltz
by
8.6k 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