Question

recall that |x - 1| < 5 can be written as -5 < x - 1 < 5. which of the following represents the solutions of |x - 1| < 5?

Explanation:

Step1: Solve the compound - inequality

Add 1 to all parts of the inequality $-5 < x - 1<5$.
$-5+1 < x-1 + 1<5 + 1$.

Step2: Simplify the inequality

We get $-4 < x<6$.
On a number - line, this is represented by an open circle at $x=-4$ and $x = 6$ and a line segment connecting them.

Answer:

The number - line with open circles at $-4$ and $6$ and a line segment between them. (Since no specific options are labeled, a general description of the correct number - line is given. If there were labeled options, we could choose the one that matches this description).