3 years ago

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

Mathematics

2 answers:

Svetllana [295]3 years ago

4 0

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

sergeinik [125]3 years ago

4 0

Answer:

Step-by-step explanation:

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