Answer: (-1, 5).
- A (-1, 5)
- B [-1, 5]
- C (0, 5)
- D (-3, 3)
Correct answer: A. (-1, 5)
Explanation: Solving absolute value inequality: |x-2|<3 ⟺ -3 < x-2 < 3 (equivalent compound inequality). Add 2 throughout: -3+2 < x < 3+2, giving -1 < x < 5. This is the open interval (-1,5). Answer: A = (-1, 5)
Concept context
Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.