DSE 數學科：不等式與線性規劃
Inequalities & Linear Programming
12 題 MCQ（基礎 0 · 中等 12 · 高階 0），撳入去睇完整解說同上一題／下一題。未學過呢個課題？先睇 數學自學路徑單元 5。
- 中等MATH-INEQ-001
1. Solve 3x − 7 > 2x + 5.
- 中等MATH-INEQ-002
2. Solve −2x ≥ 8.
- 中等MATH-INEQ-003
3. Solve x^2 − 5x + 6 < 0.
- 中等MATH-INEQ-004
4. A linear objective is optimised on a closed bounded feasible region. Where does the maximum occur?
- 中等MATH-INEQ-005
5. Which point satisfies x ≥ 0, y ≥ 0 and x + y ≤ 4?
- 中等MATH-INEQ-006
6. The feasible region is the triangle with vertices (0, 0), (4, 0) and (0, 3). What is the maximum of P = x + 2y?
- 中等MATH-INEQ-007
7. Solve 1 < 2x + 3 ≤ 9.
- 中等MATH-INEQ-008
8. The inequality y ≤ 2x + 1 represents which region?
- 中等MATH-INEQ-009
9. Solve (x − 1)(x + 4) ≥ 0.
- 中等MATH-INEQ-010
10. Constraints: x + y ≤ 10, 2x + y ≤ 16, x ≥ 0, y ≥ 0. Which point is not a vertex of the feasible region?
- 中等MATH-INEQ-011
11. Solve 5 − 2x < 1.
- 中等MATH-INEQ-012
12. What is the minimum of C = 4x + y at the vertices (0, 6), (2, 2) and (5, 0)?