Which of the following is equivalent to |x-1| <5?
x-1<5
5
-5
-5 > x-135
2 answers:
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
Answer:
Step-by-step explanation:
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