Question

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

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

Answer 1

Answer:

C. -3 < x < 1

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