Question

Which of the following is equivalent to |x-1| <5?
x-1<5
5 -5 -5 > x-135

Answer 1

Explanation:

Answer 2

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

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