Question

Find between which numbers x should lie to satisfy the equation given below: |x - 2|<1

• A. 0 < x < 2
• B. 2 < x < 4
• C. -1 < x < 1
• D. 1 < x < 3

Answer 1

Answer:

D. 1 < x < 3

|x - 2|<1 ⇒ x - 2 < 1 or x - 2 > -1 if x - 2 < 1 x < 3 if x - 2 > -1 x > 1 1 < x < 3