Mathematics · JEE | LINEAR INEQUALITIES

Consider the following statements regarding linear inequalities: (A) Two real numbers or algebraic expressions related by '<', '>', '\le' or '\ge' form an inequality. (B) Inequalities like \( ax + by < c \) are strict inequalities. (C) Inequalities like \( ax + by \le c \) are slack inequalities. (D) Multiplying both sides of an inequality by a negative number reverses the inequality sign. Which of the above statements are correct?

1. A
   (A), (B) and (C) only
2. B
   (A), (C) and (D) only
3. C
   (B), (C) and (D) only
4. D
   (A), (B), (C) and (D)