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
