Question

which number line represents the solutions to |x - 5| = 1?

Explanation:

Step1: Recall absolute - value definition

The equation \(|x - 5|=1\) means \(x−5 = 1\) or \(x−5=-1\).

Step2: Solve \(x−5 = 1\)

Add 5 to both sides: \(x=1 + 5=6\).

Step3: Solve \(x−5=-1\)

Add 5 to both sides: \(x=-1 + 5 = 4\).

Answer:

The number line with points at \(x = 4\) and \(x = 6\) represents the solutions.