Which of the following is equivalent to |x-1| <5?

x-1<5

5 - 5 - 5 > x-135

It is equivalent to - 5 < x - 1 < 5

Step-by-step explanation:

Step 1: Find equivalent of |x - 1| < 5

|x| this represents the absolute value. It is the distance of x from 0, so the value of x can be both positive and negative.

⇒ |x - 1| < 5 can be (x - 1) < 5 and - (x - 1) < 5

⇒ - (x - 1) < 5

⇒ (x - 1) < - 5

So equivalent of |x - 1| < 5 is - 5 < x - 1 < 5