Question

Solve each absolute value equation
2=|x|-1

Answer 1

• 2 = |x| - 1

Remember, the number inside the absolute value bars will always be positive. This means that if -5 is between two bars, it will become 5.

• => 2 + 1 = |x|
• => 3 = |x|

Let's review 2 ways that this equation can go through:

• (3 = |3|) = (3 = 3) True
• (3 = |-3|) = (3 = 3) True

Hence, the measure of x is ±3.

Answer 2

x = ±3

Explanation:

2 = |x| - 1

Add 1 to both sides: |x| = 3

⇒ x = ±3