Question

hw sec. 2.6
score: 0/8 0/8 answered
question 1
solve for a: |a| + 1 = 2
a =
question help: video ebook

Explanation:

Step1: Isolate the absolute value

Subtract 1 from both sides of the equation \(|a| + 1 = 2\) to get \(|a|=2 - 1\).
\(|a| = 1\)

Step2: Solve the absolute value equation

The absolute value equation \(|a| = 1\) means that \(a = 1\) or \(a=- 1\) because the absolute value of a number is its distance from 0 on the number line, so both 1 and - 1 are 1 unit away from 0.

Answer:

\(a = 1\) or \(a=-1\) (or in boxed form as \(\pm1\))