2016 · Q99
If a and b are negative real numbers and c is a positive real number, then which of the following is/are correct?
- 1a − b < a − c;
- 2If a < b, then a/c < b/c;
- 31/b < 1/c.
Select the correct answer using the code given below.
Elementary MathematicsNumber System
- A1 only
- B2 only
- C3 only
- D2 and 3 only
Explanation
a−b < a−c ⟺ b > c is false (b < 0 < c). Dividing a < b by positive c preserves the inequality (statement 2 true), and 1/b < 0 < 1/c (statement 3 true). Hence 2 and 3 only, option D.